Hiai Fumio 日合文雄

… Alternative Names

Researcher Number	30092571
Affiliation (Current)	2021: 東北大学, 情報科学研究科, 名誉教授
Affiliation (based on the past Project Information) *help	2014 – 2019: 東北大学, 情報科学研究科, 名誉教授 2017: 東北大学, 名誉教授 2013 – 2014: 東北大学, 名誉教授 2012: 東北大学, 大学院・情報科学研究科, 名誉教授 2012: 東北大学, 情報科学研究科, 名誉教授 … More
Review Section/Research Field	Principal Investigator 解析学 / Global analysis / Basic analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Global analysis Except Principal Investigator 解析学 / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Global analysis … More
Keywords	Principal Investigator 作用素 / 自由確率論 / 作用素環 / ランダム行列 / 自由エントロピー / 大偏差原理 / 非可換確率論 / 関数解析学 / 行列解析 / 量子情報 … More Except Principal Investigator 量子確率論 / 作用素 / 作用素平均 / majorization / 行列 / 作用素不等式 / 量子ホワイトノイズ / 作用素環 / ホワイトノイズ理論 / 量子分解 / 量子情報 / 散逸量子系 / 数理物理学 / 自由確率論 / 群作用 / 量子中心極限定理 / 有限要素法 / 量子測定 / 量子計算 / 不確定性原理 / 保存法則 / Wigner-Araki-Yanaseの定理 / 量子完全相関 / テンソル圏 / 自由積 / 平面代数 / 遷移確率 / 双加群 / 分岐則代数 / 場の量子論 / 力学系 / フォンノイマン環 / 部分因子環 / 共形場理論 / 頂点作用素代数 / 正定値関数 / ノルム不等式 / Jensen型不等式 / 無限次元解析 / 複雑ネットワーク / 関数解析 / 完全正写像 / Hadamard積 / 作用素単調関数 / Majorization / White noise theory / Quantum probability / Quantum white noise / Quantum decomposition / Quantum central limit theorem / Levy Laplacian / システム理論 / 回路理論 / スペクトル / 3体系シュレーディンガー作用素の散乱 / 極限吸収原理 / 波動作用素の漸近的完全性 / 散乱全断面積の漸近挙動 / Golden-Thompson補完型のノルム不等式 / 対数型マジョリゼーション / トレース不等式 / 超関数上のテプリッツ作用素 / semigroup rings / generalized functions / schrodinger operators / scattering theory / integral domains / Toeplitz operators / Entropy / シュタルク効果 / 波動作用素 / 漸近的完全性 / 散乱全断面積 / 準古典近似 / 影散乱 / 退化楕円型方程式 / ソボレフの不等式 / クリティカル・イクスポ-ネント / ベスト・コンスタント / ネットワーク / 離散曲面 / 無限グラフ / 剛性行列 / 質量行列 / グリーン核 / 熱核 / ファジー・ドラム理論 / ディリクレ境界値問題 / 三角形分割 / 数値計算 / 隣接行列 / 離散線識曲面 / 非固有アファイン球面 / ピック不変量 / アファイン空間 / アファイン・シェイプ作用素 / 中心極限定理 / 非平衡熱場理論 / 数学基礎論 / 量子集合論 / 量子ゲート / デコヒーレンス / 量子仮説検定 / 量子チャンネル推定 / 量子推定 / 量子オペレーション / 量子論理ゲート / Fisher情報量 / 量子代数 / 面代数 / 統計力学 / 非可換幾何学 / エルゴード理論 / ユニタリ不変ノルム / majorization理論 / 因子環 / 無限分割可能行列 / 作用素凹関数 / ホワイトノイズ解析 / 直交多項式 / 確率解析 / フーリエ-ガウス変換 / フーリエ・ガウス変換 / 調和写像 / 2-調和写像 / 2-ヤング・ミルズ場 / 非正曲率 / コンパクト・リー群 / エネルギー / 2-エネルギー / 完備リーマン多様体 / コンパクト・対称空間 / ラグランジアン部分多様体 / 一般化B.Y. Chen予想 / 非正曲率多様体 / バブリング理論 / mエネルギー / 複素射影空間 / 一般化B.Y.Chen予想 / 平均曲率ベクトル場 / 除去可能特異点定理 / サイバーグ・ウィッテン方程式 / コンパクト性定理 / 平坦多様体 / レイ・シンガーのゼータ関数 / フルヴィッツのゼータ関数 / 2-ヤング・ミルズ接続 / スペクトル解析 / フォック空間 / 量子確率過程 / 関数解析学 / 量子情報理論 / 作用素ノルム不等式 / 特異値 / von Noumann代数 / 正定値 / VonNeumann代数 / 行列解析 / 信号処理 / グラフ / 組合せ論 / Hankel行列 / Toeplitz行列 / 極値問題 / H^∞ー制御 / フィルタ- / matrix analysis / signal processing / graph / combinatorics / Hankel matrices / Toeplitz matrices / extreme problems / 指数積公式 / シュレディンガー半群 / パウリ作用素 / 固有値漸近分布 / 磁場散乱 / 散乱振幅 / レゾルベント / 固有値分布 / 非一様磁場 / exponential product formula / Schrodinger semigroup / Pauli operator / asymptotic distribution of eigenvalues / scattering by magnetic fields / scattering amplitudes / 水圏環境 / 大気圏環境 / Navier-Stokesの方程式 / 浅水長波方程式 / 有限解析法 / k-εモデル / Dirichlet-Neumann交代法 / 環境流れ / 数値流体力学 / ナビエ・ストークスの方程式 / 乱流 / k-ε(ケイ・イプシロン)モデル / コンピュータ・シミュレーション / Water environment / Atmospheric environment / Navier-Stokes equations / Shallow water equations / Finite element method / Finite analytical method / κ-εmodel / Dirichlet-Neumann alternating method / 複素スペクトル / レヴィラプラシアン / 伊藤公式 / Complex spectrum / Quantum dissipation / ウェイヴレット / 偏微分方程式 / 戸田方程式 / 選点法 / 半離散化 / ハミルトン力学 / 数値計算スキーム / スプライン近似 / エネルギー保存差分スキーム / ウェイヴレット展開 / ハミルトン力学系 / 分散なし戸田方程式 / 弱l^Pノルム / 双曲型偏微分方程式 / 数値解析 / 差分スキーム / ランダム行列 / エルゴード制御 / シュレーディンガー方程式 / ルンゲークッタ / 運動ロボット / 雑音除去 / wavelet / partial differential equation / Toda equation / collocation method / semi-discretization / Hamiltonian dynamics / numerical scheme / spline approximation / 軌道体 / ホップ代数 / フロベニウス代数 / 双対性 / 五角形方程式 / スペクトル流 / tensor categories / orbifold / Hopf algebras / Frobenius algebra / bimodule / duality / ハーディー空間 / 直交最大関数 / 非接最大関数 / グランド最大関数 / オルリッツ・ノルム / コーシー・リーマン方程式 / クレイ・ゴードン方程式 / ポアソン積分 / ハーディー空関 / オルリッツ空間 / コーシー・リーマンの方程式 / クレイン・ゴードン方程式 / 渦度方程式 / 直行最大関数 / 振動レイマン境界条件 / 岩澤不変量 / 疑似直交基 / 疑似双直交基 / Hardy space / vertical maximal function / non-tangential maximal function / grand maximal function / Orlicz-norm / Cauchy-Riemann equation / Klein-Gordon equation / Poisson integral / 量子計算素子 / 誤り耐性量子計算 / 量子回路 / 量子Turing機械 / 量子推定理論 / 量子Fisher情報量 / 測定誤差 / 擾乱 / 制御否定ゲート / uncertainty principle / quantum measurement / quantum computing / quantum information / conservation law / completely positive maps / quantum gates / fault-tolerant quantum computing / レヴィ・ラプラシアン / グラフのスペクトル / Dissipative quantum system / Spectral analysis of graphs / 離散群 / 作用素論 / 量子群 / 従順性 / 作用素空間 / 量子不変量 / operator algebra / mathematical physics / quantum field theory / dynamical systems / von Neumann algebras / subfactor / free probability / operator inequality / 夛様体 / 葉層構造 / 特性類 / リー環 / 特異点 / Manifold / Foliation / Characteristic Class / Group Action / Lie Algebra / Singular Point / 不等式 / 完全正値写像 / s-number / 条件付期待値 / Operator / Inequality / Completely Positive Map / s-Number / 量子状態 / 非可換積分論 / quantum algebra / Weyl unitary / projection / quantum probability / trace formula / quantum state / CCR algebra / CCR代数 Less

Matrix/operator analysis (inequalities, mean, majorization) and applications to quantum informationPrincipal Investigator
- Principal Investigator
  
  日合文雄
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Matrix/operator inequalities and applications to quantum information and free probabilityPrincipal Investigator
- Principal Investigator
  
  Hiai Fumio
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Transition probability among quantum states and their asymptotic behavior
- Principal Investigator
  
  Yamagami Shigeru
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
Quantum stochastic analysis - Transforms and spectral analysis
- Principal Investigator
  
  OBATA Nobuaki
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Study on operator inequalities based on various analytic methods
- Principal Investigator
  
  KOSAKI Hideki
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
New development of harmonic maps
- Principal Investigator
  
  URAKAWA Hajime
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Study of inequalities and variational principle in free probability theoryPrincipal Investigator
- Principal Investigator
  
  HIAI Fumio
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Quantum Probability Theory and Infinite Dimensional Analysis
- Principal Investigator
  
  OBATA Nobuaki
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Synthetic Studies on Operator Algebras and Mathematical Physics
- Principal Investigator
  
  KAWAHIGASHI Yasuyuki
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
Study on operator theory and operator means
- Principal Investigator
  
  KOSAKI Hideki
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Quantum analysis in tensor categories and their free products
- Principal Investigator
  
  YAMAGAMI Shigeru
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Ibaraki University
Mathematical study of quantum information and quantum computing
- Principal Investigator
  
  MASANAO Ozawa
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nagoya University
  Tohoku University
Study of free probability and operator algebras based on random matricesPrincipal Investigator
- Principal Investigator
  
  HIAI Fumio
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Operator algebras and mathematical physics
- Principal Investigator
  
  KAWAHIGASHI Yasuyuki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  University of Tokyo
Nonlinear theory of quantum white noise and its non-Gaussian extension
- Principal Investigator
  
  OBATA Nobuaki
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Mathematical Research of Quantum Information and Quantum Computing
- Principal Investigator
  
  OZAWA Masanao
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
Study of noncommutative analysis and free probability theory on operator algebrasPrincipal Investigator
- Principal Investigator
  
  HIAI Fumio
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
凸体の幾何とファジー力学系
- Principal Investigator
  
  URAKAWA Hajime
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
新しい統計科学としての量子情報論
- Principal Investigator
  
  尾畑伸明
- Project Period (FY)
  2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
Characterizations of real Hardy spaces and functional analysis
- Principal Investigator
  
  KANEKO Makoto
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOHOKU University
自由確率変数の作用素論的研究Principal Investigator
- Principal Investigator
  
  日合文雄
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Quantum white noise and nonlinear infinite dimensional analysis
- Principal Investigator
  
  OBATA Nobuaki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
  Nagoya University
Numerical Analysis for Inverse Problems and Applications of Wavelet Analysis
- Principal Investigator
  
  OKADA Masami
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Metropolitan University
  Tohoku University
Quantum symmetry in tensor categories
- Principal Investigator
  
  YAMAGAMI Shigeru
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  IBARAKI UNIVERSITY
Mathematical analysis of flows directly associated with environmental problems.
- Principal Investigator
  
  ONISHI Kazuei
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Ibaraki University
Spectral and Scattering Theory and its Application
- Principal Investigator
  
  TAMURA Hideo
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Okayama University
  Ibaraki University
Study of noncommutative probability and noncommutative entropyPrincipal Investigator
- Principal Investigator
  
  HIAI Fumio
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  TOHOKU UNIVERSITY
  Ibaraki University
作用素環上の非可換確率論の研究Principal Investigator
- Principal Investigator
  
  日合文雄
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ibaraki University
退化楕円型方程式に関する諸問題の研究
- Principal Investigator
  
  堀内利郎
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ibaraki University
量子格子系とエントロピーの研究Principal Investigator
- Principal Investigator
  
  日合文雄
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Ibaraki University
シュレ-ディンガー作用素のスペクトル理論の研究
- Principal Investigator
  
  田村英男
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ibaraki University
環論とその応用の研究
- Principal Investigator
  
  松田隆輝
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Ibaraki University
関数空間における作用素の研究
- Principal Investigator
  
  荷見守助
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ibaraki University
作用素解析と作用素代数の研究Principal Investigator
- Principal Investigator
  
  日合文雄
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Ibaraki University
Matrix Analysis and Its Applications to Signal Processing
- Principal Investigator
  
  ANDO Tsuyoshi
- Project Period (FY)
  1990 – 1992
- Research Category
  
  Grant-in-Aid for international Scientific Research
- Research Institution
  Hokkaido University
システム理論と関連する作用素論の研究
- Principal Investigator
  
  ANDO Tsuyoshi
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Hokkaido University
作用素の順序構造に関連する種々の不等式
- Principal Investigator
  
  安藤毅
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Hokkaido University
作用素に対するmajorizationとその応用
- Principal Investigator
  
  安藤毅
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Hokkaido University
作用素環上の非可換確率論と力学系の研究Principal Investigator
- Principal Investigator
  
  日合文雄
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hokkaido University
GEOMETRY OF MANIFOLDS
- Principal Investigator
  
  SUZUKI Haruo
- Project Period (FY)
  1985 – 1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  HOKKAIDO UNIVERSITY
Research on Inequalities for Operators
- Principal Investigator
  
  ANDO Tsuyoshi
- Project Period (FY)
  1985 – 1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Hokkaido University

[Book] New trends in infinite dimensional analysis and quantum probability2009
- Author(s)
  N. Obata, F. Hiai, M. Bo. ejko and U. C. Ji
- Publisher
  special issue, Interdiscip. Inform. Sci.
- Data Source
  KAKENHI-PROJECT-20340025
[Book] Proceedings of the second Sendai Workshop on Quantum Probability and Quantum Information2004
- Author(s)
  F.Hiai, N.Obata, M.Ozawa (eds.)
- Total Pages
  81
- Publisher
  Interdisciplinary Information Sciences, Tohoku University
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Book] Means of Hilbert Space Operators (Lecture Notes in Mathematics, Vol.1820)2003
- Author(s)
  F.Hiai, H.Kosaki
- Total Pages
  148
- Publisher
  Springer
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Operator means deformed by a fixed point method2020
- Author(s)
  F. Hiai
- Journal Title
  
  Adv. Oper. Theory
  
  Volume: 印刷中
- DOI
  10.1007/s43036-019-00034-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05266
[Journal Article] Operator means of probability measures2020
- Author(s)
  F. Hiai and Y. Lim
- Journal Title
  
  Adv. Math.
  
  Volume: 365
- DOI
  10.1016/j.aim.2020.107038
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Journal Article] Ando-Hiai type inequalities for operator means and operator perspectives2020
- Author(s)
  F. Hiai, Y. Seo and S. Wada
- Journal Title
  
  Internat. J. Math.
  
  Volume: 31
- DOI
  10.1142/s0129167x2050007x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05266
[Journal Article] Quantum f-divergences in von Neumann algebras II. Maximal f-divergences2019
- Author(s)
  F. Hiai
- Journal Title
  
  J. Math. Phys.
  
  Volume: 60
- DOI
  10.1063/1.5051427
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05266
[Journal Article] Convergence theorems for barycentric maps2019
- Author(s)
  F. Hiai and Y. Lim
- Journal Title
  
  Infin. Dimens. Anal. Quantum Probab. Relat. Top.
  
  Volume: 22
- DOI
  10.1142/s0219025719500164
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Journal Article] Ando-Hiai type inequalities for multivariate operator means2019
- Author(s)
  F. Hiai, Y. Seo and S. Wada
- Journal Title
  
  Linear and Multilinear Algebra
  
  Volume: 67 Pages: 2253-2281
- DOI
  10.1080/03081087.2018.1488938
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05266, KAKENHI-PROJECT-19K03542
[Journal Article] Log-majorization related to Renyi divergences2019
- Author(s)
  F. Hiai
- Journal Title
  
  Linear Algebra Appl.
  
  Volume: 563
- DOI
  10.1016/j.laa.2018.11.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05266
[Journal Article] Quantum f-divergences in von Neumann algebras I. Standard f-divergences2018
- Author(s)
  F. Hiai
- Journal Title
  
  J. Math. Phys.
  
  Volume: 59
- DOI
  10.1063/1.5039973
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05266
[Journal Article] The stochastic order of probability measures on ordered metric spaces2018
- Author(s)
  F. Hiai, J. Lawson and Y. Lim
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 464
- DOI
  10.1016/j.jmaa.2018.04.038
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Journal Article] Log-majorizations for the (symplectic) eigenvalues of the Cartan barycenter2018
- Author(s)
  F. Hiai and Y. Lim
- Journal Title
  
  Linear Algebra Appl.
  
  Volume: 553
- DOI
  10.1016/j.laa.2018.04.029
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Journal Article] Different quantum f-divergences and the reversibility of quantum operations2017
- Author(s)
  F. Hiai, M. Mosonyi
- Journal Title
  
  Rev. Math. Phys.
  
  Volume: 29
- DOI
  10.1142/s0129055x17500234
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Journal Article] Generalized log-majorization and multivariate trace inequalities2017
- Author(s)
  F. Hiai, R. Konig and M. Tomamichel
- Journal Title
  
  Ann. Henri Poincare
  
  Volume: 印刷中
- DOI
  10.1007/s00023-017-0569-y
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400103, KAKENHI-PROJECT-17K05266
[Journal Article] Geometric mean flows and the Cartan barycenter on the Wasserstein space over positive definite matrices2017
- Author(s)
  F. Hiai and Y. Lim
- Journal Title
  
  Linear Algebra Appl.
  
  Volume: 533
- DOI
  10.1016/j.laa.2017.07.017
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Journal Article] On an eigenvalue inequality involving the Hadamard product2017
- Author(s)
  F. Hiai and M. Lin
- Journal Title
  
  Linear Algebra Appl.
  
  Volume: 515
- DOI
  10.1016/j.laa.2016.11.017
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400103, KAKENHI-PROJECT-17K05266
[Journal Article] Log-majorization and Lie-Trotter formula for the Cartan barycenter on probability measure spaces2017
- Author(s)
  F. Hiai and Y. Lim
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 印刷中
- DOI
  10.1016/j.jmaa.2017.03.027
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400103, KAKENHI-PROJECT-17K05266
[Journal Article] A generalization of Araki's log-majorization2016
- Author(s)
  F. Hiai
- Journal Title
  
  Linear Algebra Appl.
  
  Volume: 501
- DOI
  10.1016/j.laa.2016.03.023
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400103
[Journal Article] Reciprocal Lie-Trotter formula2016
- Author(s)
  K. M. R. Audenaert and F. Hiai
- Journal Title
  
  Linear and Multilinear Algebra
  
  Volume: 64
- DOI
  10.1080/03081087.2015.1082957
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400103
[Journal Article] Concavity of certain matrix trace and norm functions. II2016
- Author(s)
  F. Hiai
- Journal Title
  
  Linear Algebra Appl.
  
  Volume: 496
- DOI
  10.1016/j.laa.2015.12.032
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400103
[Journal Article] Contraction coefficients for noisy quantum channels2016
- Author(s)
  F. Hiai and M. B. Ruskai
- Journal Title
  
  J. Math. Phys.
  
  Volume: 57
- DOI
  10.1063/1.4936215
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400103
[Journal Article] Operator k-tone functions and analytic functional calculus2015
- Author(s)
  F. Hiai
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 1
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400103
[Journal Article] Orbital free pressure and its Legendre transform2015
- Author(s)
  F. Hiai and Y. Ueda
- Journal Title
  
  Comm. Math. Phys.
  
  Volume: 334 Pages: 275-300
- DOI
  10.1007/s00220-014-2135-5
- NAID
  120006714548
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400103, KAKENHI-PROJECT-24540214
[Journal Article] Anti-norms on finite von Neumann algebras2015
- Author(s)
  J.-C. Bourin and F. Hiai
- Journal Title
  
  Publ. Res. Inst. Math. Sci.
  
  Volume: 51
- DOI
  10.4171/prims/153
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400103
[Journal Article] Conic structure of the non-negative operator convex functions on (0,∞)2014
- Author(s)
  U. Franz and F. Hiai
- Journal Title
  
  Ann. Funct. Anal.
  
  Volume: 5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400103
[Journal Article] Jensen and Minkowski inequalities for operator means and anti-norms2014
- Author(s)
  J.-C. Bourin and F. Hiai
- Journal Title
  
  Linear Algebra Appl.
  
  Volume: 456
- DOI
  10.1016/j.laa.2014.05.030
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400103
[Journal Article] Higher order extension of Loewner's theory: Operator k-tone functions2014
- Author(s)
  U. Franz, F. Hiai and E. Ricard
- Journal Title
  
  Trans. Amer. Math. Soc.
  
  Volume: 366
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400103
[Journal Article] Families of completely positive maps associated with monotone metrics2013
- Author(s)
  F. Hiai, H. Kosaki, D. Petz and M. B. Ruskai
- Journal Title
  
  Linear Algebra Appl.
  
  Volume: 439 Pages: 1749-1791
- DOI
  10.1016/j.laa.2013.05.012
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540215
[Journal Article] Concavity of certain matrix trace and norm functions2013
- Author(s)
  F. Hiai
- Journal Title
  
  Linear Algebra Appl.
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Families of completely positive maps associated with monotone metrics2013
- Author(s)
  F.Hiai, H.Kosaki, D.Petz and M.B.Ruskai
- Journal Title
  
  Linear Algebra Appl
  
  Volume: 439 Pages: 1749-1791
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540215
[Journal Article] Families of completely positive maps associated with monotone metrics, Linear Algebra Appl2013
- Author(s)
  F. Hiai, H. Kosaki, D. Petz and M. B. Ruskai
- Journal Title
  
  to appear
- URL
  http://www.journals.elsevier.com/linear-algebra-and-its-applications/
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] From quasi-entropy to various quantum information quantities2012
- Author(s)
  F.Hiai
- Journal Title
  
  Publ.Res.Inst.Math.Sci.
  
  Volume: 48(印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] From quasi-entropy to various quantum information quantities2012
- Author(s)
  F. Hiai and D. Petz
- Journal Title
  
  Publ. Res. Inst. Math. Sci
  
  Volume: 48 Pages: 525-542
- DOI
  10.2977/prims/79
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Riemannian metrics on positive definite matrices related to means. II2012
- Author(s)
  F. Hiai and D. Petz
- Journal Title
  
  Linear Algebra Appl.
  
  Volume: 436 Pages: 2117-2136
- DOI
  10.1016/j.laa.2011.10.029
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Loewner matrices of matrix convex and monotone functions2012
- Author(s)
  F. Hiai, T. Sano
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume: 64 Issue: 2 Pages: 343-364
- DOI
  10.2969/jmsj/06420343
- NAID
  10030740187
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540152, KAKENHI-PROJECT-21540208
[Journal Article] Loewner matrices of matrix convex and monotone functions2012
- Author(s)
  F.Hiai and T.Sano
- Journal Title
  
  J. Math. Soc., Japan
  
  Volume: 64 Pages: 343-364
- NAID
  10030740187
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540215
[Journal Article] Loewner matrices of matrix convex and monotone functions2011
- Author(s)
  F.Hiai
- Journal Title
  
  J.Math.Soc.Japan
  
  Volume: 未定(印刷中)
- NAID
  10030740187
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Loewner matrices of matrix convex and monotone functions2011
- Author(s)
  F.Hiai
- Journal Title
  
  J.Math.Soc.Japan
  
  Volume: (未定)(In press)
- NAID
  10030740187
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Quantum f-divergences and error correction2011
- Author(s)
  F. Hiai, M. Mosonyi, D. Petz and C. Beny
- Journal Title
  
  Rev.Math.Phys.
  
  Volume: 23 Pages: 691-747
- DOI
  10.1142/s0129055x11004412
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208, KAKENHI-PROJECT-23340027
[Journal Article] Norm and anti-norm inequalities for positive semi-definite matrices2011
- Author(s)
  J.-C. Bourin and F. Hiai
- Journal Title
  
  Internat. J. Math
  
  Volume: 22 Pages: 1121-1138
- DOI
  10.1142/s0129167x1100715x
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] On the quantum R'enyi relative entropies and related capacity formulas2011
- Author(s)
  M. Mosonyi and F. Hiai
- Journal Title
  
  IEEE Trans.Inform.Theory
  
  Volume: 57 Pages: 2474-2487
- DOI
  10.1109/tit.2011.2110050
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Operator log-convex functions and operator means2011
- Author(s)
  T. Ando and F. Hiai
- Journal Title
  
  Math.Ann.
  
  Volume: 350 Pages: 611-630
- DOI
  10.1007/s00208-010-0577-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208, KAKENHI-PROJECT-23340027
[Journal Article] Strongly subadditive functions2010
- Author(s)
  K. Audenaert, F. Hiai and D. Petz
- Journal Title
  
  Acta Math. Hungar
  
  Volume: 128 Pages: 386-394
- DOI
  10.1007/s10474-010-9222-7
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Matrix Analysis : Matrix Monotone Functions, Matrix Means, and Majorization (GSIS selected lectures)2010
- Author(s)
  F.Hiai
- Journal Title
  
  Interdisciplinary Information Sciences
  
  Volume: 16 Pages: 139-248
- NAID
  110009795065
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] matrix monotone functions, matrix means, and majorization, Interdiscip2010
- Author(s)
  F. Hiai
- Journal Title
  
  Inform. Sci.
  
  Volume: 16 Pages: 139-246
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Matrix Analysis : Matrix Monotone Functions, Matrix Means, and Majorization (GSIS selected lectures)2010
- Author(s)
  F.Hiai
- Journal Title
  
  Interdisciplinary Information Sciences
  
  Volume: 16 Pages: 139-248
- NAID
  110009795065
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] A new approach to mutual information. II2010
- Author(s)
  F.Hiai
- Journal Title
  
  Banach Center Publications
  
  Volume: 89 Pages: 143-163
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] A new approach to mutual information. II2010
- Author(s)
  F. Hiai
- Journal Title
  
  Banach Center Publications
  
  Volume: 89 Pages: 143-163
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Matrix analysis : matrix monotone functions, matrix means, and majorization2010
- Author(s)
  F. Hiai
- Journal Title
  
  Interdiscip. Inform. Sci
  
  Volume: no.2 Pages: 139-248
- NAID
  130000323465
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Strongly subadditive functions2010
- Author(s)
  K. Audenaert, F. Hiai, D. Petz
- Journal Title
  
  Acta Math. Hungar
  
  Volume: no.4 Pages: 386-394
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization2010
- Author(s)
  F. Hiai
- Journal Title
  
  Interdisciplinary Information Sciences
  
  Volume: 16 Issue: 2 Pages: 139-246
- DOI
  10.4036/iis.2010.139
- NAID
  130000323465
- ISSN
  1340-9050, 1347-6157
- Language
  English
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Strongly subadditive functions2010
- Author(s)
  K. Audenaert, F. Hiai and D. Petz
- Journal Title
  
  Acta Math. Hungar
  
  Volume: 128 Pages: 386-394
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] A log-Sobolev type inequality for free entropy of two projections2009
- Author(s)
  F. Hiai, and Y. Ueda
- Journal Title
  
  Ann. Inst. H. Poincare Probab. Statist. 45
  
  Pages: 239-249
- NAID
  120006714550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Quantum covariance, quantum Fisher information and the uncertainty principle2009
- Author(s)
  P.Gibilisco, F.Hiai, D.Petz
- Journal Title
  
  IEEE Trans.Inform.Theory 55
  
  Pages: 439-443
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Quantum hypothesis testing with group symmetry2009
- Author(s)
  F.Hiai
- Journal Title
  
  J.Math.Phys. 50
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Quantum covariance, quantum Fisher information and the uncertainty principle2009
- Author(s)
  P. Gibilisco, F. Hiai and D. Petz
- Journal Title
  
  IEEE Trans. Inform. Theory 55
  
  Pages: 439-443
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Orbital approach to microstate free entropy2009
- Author(s)
  F. Hiai, T. Miyamoto and Y. Ueda
- Journal Title
  
  Internat. J. Math. 20
  
  Pages: 227-273
- NAID
  120006714544
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Orbital approach to microstate free entropy2009
- Author(s)
  F. Hiai, T. Miyamoto and Y. Ueda
- Journal Title
  
  Internat. J. Math
  
  Volume: 20 Pages: 227-273
- DOI
  10.1142/s0129167x09005261
- NAID
  120006714544
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Quantum covariance, quantum Fisher information and the uncertainty principle2009
- Author(s)
  P. Gibilisco, F. Hiai and D. Petz
- Journal Title
  
  IEEE Trans. Inform. Theory
  
  Volume: 55 Pages: 439-443
- DOI
  10.1109/tit.2008.2008142
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Orbital approach to microstate free entropy2009
- Author(s)
  F.Hiai, T.Miyamoto, Y.Ueda
- Journal Title
  
  Internat.J.Math. 20
  
  Pages: 227-273
- NAID
  120006714544
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] A log-Sobolev type inequality for free entropy of two projections2009
- Author(s)
  F. Hiai and Y. Ueda
- Journal Title
  
  Ann. Inst. H. Poincare Probab. Statist 45
  
  Pages: 239-249
- NAID
  120006714550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Monotonicity for entry wise functions of matrices2009
- Author(s)
  F. Hiai
- Journal Title
  
  Linear Algebra Appl
  
  Volume: 431 Pages: 1125-1146
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Monotonicity for entrywise functions of matrices2009
- Author(s)
  F.Hiai
- Journal Title
  
  Linear Algebra Appl. 431
  
  Pages: 1125-1146
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Riemannian metrics on positive definite matrices related to means2009
- Author(s)
  F.Hiai, D.Petz
- Journal Title
  
  Linear Algebra Appl. 430
  
  Pages: 3105-3130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] A log-Sobolev type inequality for free entropy of two projections2009
- Author(s)
  F. Hiai, Y. Ueda
- Journal Title
  
  Ann. Inst. H. Poincare Probab. Statist. 45
  
  Pages: 239-249
- NAID
  120006714550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Monotonicity for entrywise functions of matrices2009
- Author(s)
  F. Hiai
- Journal Title
  
  Linear Algebra Appl
  
  Volume: no.8 Pages: 1125-1146
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Monotonicity for entrywise functions of matrices2009
- Author(s)
  F. Hiai
- Journal Title
  
  Linear Algebra Appl.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Quantum hypothesis testing with group symmetry2009
- Author(s)
  F. Hiai, M. Mosonyi and M. Hayashi
- Journal Title
  
  J. Math. Phys.
  
  Volume: 50 Pages: 103304-31
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Quantum hypothesis testing with group symmetry2009
- Author(s)
  F. Hiai, M. Mosonyi and M. Hayashi
- Journal Title
  
  J. Math. Phys
  
  Volume: 50 Pages: 1-31
- DOI
  10.1063/1.3234186
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] A log-Sobolev type inequality for free entropy of two projections2009
- Author(s)
  F. Hiai and Y. Ueda
- Journal Title
  
  Aim. Inst. H. Poincare Probab. Statist 45
  
  Pages: 239-249
- NAID
  120006714550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Quantum covariance, quantum Fisher information and the uncertainty principle2009
- Author(s)
  P. Gibilisco, F. Hiai, D. Petz
- Journal Title
  
  IEEE Trans. Inform. Theory 55
  
  Pages: 439-443
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Riemannian metrics on positive definite matrices related to means2009
- Author(s)
  F. Hiai, D. Petz
- Journal Title
  
  Linear Algebra Appl. 430
  
  Pages: 3105-3130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Monotonicity for entrywise functions of matrices2009
- Author(s)
  F.Hiai
- Journal Title
  
  Linear Algebra Appl. 431
  
  Pages: 1125-1146
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Quantum hypothesis testing with group symmetry2009
- Author(s)
  F. Hiai, M. Mosonyi, M. Hayashi
- Journal Title
  
  J. Math. Phys
  
  Volume: no.10 Pages: 103304-103304
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Orbital approach to microstate free entropy2009
- Author(s)
  F.Hiai
- Journal Title
  
  Internat.J.Math. 20
  
  Pages: 227-273
- NAID
  120006714544
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Orbital approach to microstate free entropy2009
- Author(s)
  F. Hiai, T. Miyamoto and Y. Ueda
- Journal Title
  
  Internat. J. Math. 20
  
  Pages: 227-273
- NAID
  120006714544
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] A log-Sobolev type inequality for free entropy of two projections2009
- Author(s)
  F.Hiai
- Journal Title
  
  Ann.Inst.H.Poincare Probab.Statist. 45
  
  Pages: 239-249
- NAID
  120006714550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Riemannian metrics on positive definite matrices related to means2009
- Author(s)
  F. Hiai, D. Petz
- Journal Title
  
  Linear Algebra Appl
  
  Volume: no.11-12 Pages: 3105-3130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Orbital approach to microstate free entropy2009
- Author(s)
  F. Hiai, T. Miyamoto and Y. Ueda
- Journal Title
  
  Internat. J. Math
  
  Volume: 20 Pages: 227-273
- NAID
  120006714544
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Orbital approach to microstate free entropy2009
- Author(s)
  F. Hiai, T. Miyamoto, Y. Ueda
- Journal Title
  
  Internat. J. Math
  
  Volume: no.2 Pages: 227-273
- NAID
  120006714544
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Monotonicity for entrywise functions of matrices2009
- Author(s)
  F. Hiai
- Journal Title
  
  Linear Algebra Appl
  
  Volume: 431 Pages: 1125-1146
- DOI
  10.1016/j.laa.2009.04.001
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Riemannian metrics on positive definite matrices related to means2009
- Author(s)
  F.Hiai
- Journal Title
  
  Linear Algebra Appl. 430
  
  Pages: 3105-3130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Quantum covariance, quantum Fisher information, and the uncertainty relations2009
- Author(s)
  P. Gibilisco, F. Hiai, D. Petz
- Journal Title
  
  IEEE Trans. Inform. Theory
  
  Volume: no.1 Pages: 439-443
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] A log-Sobolev type inequality for free entropy of two projections2009
- Author(s)
  F. Hiai and Y. Ueda
- Journal Title
  
  Ann. Inst. Henri Poincare Probab. Stat
  
  Volume: 45 Pages: 239-249
- NAID
  120006714550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Riemannian metrics on positive definite matrices related to means2009
- Author(s)
  F. Hiai and D. Petz
- Journal Title
  
  Linear Algebra Appl 430
  
  Pages: 3105-3130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] A log-Sobolev type inequality for free entropy of two projections2009
- Author(s)
  F.Hiai, Y.Ueda
- Journal Title
  
  Ann.Inst.H.Poincar'e Probab.Statist. 45
  
  Pages: 239-249
- NAID
  120006714550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Ritmannian metrics on positive definite matrices related to means2009
- Author(s)
  F. Hiai and D. Petz
- Journal Title
  
  Linear Algebra Appl. (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Monotonicity for entrywise functions of matrices2009
- Author(s)
  F. Hiai
- Journal Title
  
  Linear Algebra Appl. 45(掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Quantum covariance, quantum Fisher information and the uncertainty principle2009
- Author(s)
  P. Gibilisco, F. Hiai, and D. Petz
- Journal Title
  
  IEEE Trans. Inform. Theory 55
  
  Pages: 439-443
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Riemannian metrics on positive definite matrices related to means2009
- Author(s)
  F. Hiai, and D. Petz
- Journal Title
  
  Linear Algebra Appl. 430
  
  Pages: 3105-3130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Quantum covariance, quantum Fisher information and the uncertainty principle2009
- Author(s)
  P. Gibilisco, F. Hiai and D. Petz
- Journal Title
  
  IEEE Trans. Inform. Theory 55
  
  Pages: 439-443
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] A log-Sobolev type inequality for free entropy of two projections2009
- Author(s)
  F. Hiai and Y. Ueda
- Journal Title
  
  Ann. Inst. H. Poincare Probab. Statist
  
  Volume: 45 Pages: 239-249
- DOI
  10.1214/08-aihp164
- NAID
  120006714550
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] A log-Sobolev type inequality for free entropy of two projections2009
- Author(s)
  F. Hiai and Y. Ueda
- Journal Title
  
  Ann. Inst. H. Poincare Probab. Statist 45
  
  Pages: 239-249
- NAID
  120006714550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] A log-Sobolev type inequality for free entropy of two projections2009
- Author(s)
  F. Hiai, Y. Ueda
- Journal Title
  
  Ann. Inst. Henri Poincare Probab. Stat
  
  Volume: no.1 Pages: 239-249
- NAID
  120006714550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Riemannian metrics on positive definite matrices related to means2009
- Author(s)
  F. Hiai and D. Petz
- Journal Title
  
  Linear Algebra Appl
  
  Volume: 430 Pages: 3105-3130
- DOI
  10.1016/j.laa.2009.01.025
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Orbital approach to microstate free entropy2009
- Author(s)
  F. Hiai, T. Miyamoto, and Y. Ueda
- Journal Title
  
  Internat. J. Math. 20
  
  Pages: 227-273
- NAID
  120006714544
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Asymptotic distinguishability measures for shift-invariant quasi-free states of fermionic lattice systems2008
- Author(s)
  M. Mosonyi, F. Hiai, T. Ogawa, M. Fannes
- Journal Title
  
  Journal of Mathematical Physics 49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Error exponents in hypothesis testing for correlated states on a spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi, and T. Ogawa
- Journal Title
  
  J. Math. Phys. 49, 007803
  
  Pages: 1-22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Notes on microstate free entropy of projections2008
- Author(s)
  F. Hiai and Y. Ueda
- Journal Title
  
  Publ. Res. Inst. Math. Sci 44
  
  Pages: 49-89
- NAID
  110006574489
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems2008
- Author(s)
  M. Mosonyi, F. Hiai, T. Ogawa, M. Fannes
- Journal Title
  
  J. Math. Phys
  
  Volume: no.7 Pages: 72104-72104
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Free energy density for mean field perturbation of states of a one-dimensional spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi, H. Ohno, and D. Petz
- Journal Title
  
  Rev. Math. Phys. 20
  
  Pages: 335-365
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Notes on microstate free entropy of projections2008
- Author(s)
  F. Hiai, Y. Ueda
- Journal Title
  
  Publ. Res. Inst. Math. Sci
  
  Volume: no.1 Pages: 49-89
- NAID
  110006574489
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Error exponents in hypothesis testing for correlated states on a spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi, T. Ogawa
- Journal Title
  
  Journal of Mathematical Physics 49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Free energy density for mean field perturbation of states of a one-dimensional spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi, H. Ohno, D. Petz
- Journal Title
  
  Reviews in Mathematical Physics 20
  
  Pages: 335-365
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Free energy density for mean field perturbation of states of a one-dime nsional spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi, H. Ohno and D. Petz
- Journal Title
  
  Rev. Math. Phys 20
  
  Pages: 335-365
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Error exponents in hypothesis testing for correlated states on a spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi and T. Ogawa
- Journal Title
  
  Journal of Mathematical Physics 49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Error exponents in hypothesis testing for correlated states on a spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi and T. Ogawa
- Journal Title
  
  J. Math. Phys.
  
  Volume: 49 Pages: 032112-22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Free energy density for mean field perturbation of states of a one-dimensional spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi, H. Ohno and D. Petz
- Journal Title
  
  Rev. Math. Phys
  
  Volume: 20 Pages: 335-365
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Notes on microstate free entropy of projections2008
- Author(s)
  F. Hiai, and Y. Ueda
- Journal Title
  
  Publ.Res.Inst.Math.Sci. 44
  
  Pages: 49-89
- NAID
  110006574489
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Notes on microstate free entropy of projections2008
- Author(s)
  F. Hiai and Y. Ueda
- Journal Title
  
  Publ. Res. Inst. Math. Sci
  
  Volume: 44 Pages: 49-89
- NAID
  110006574489
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Error exponents in hypothesis testing for correlated states on a spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi, T. Ogawa
- Journal Title
  
  J. Math. Phys
  
  Volume: no.3 Pages: 32112-32112
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Notes on microstate free entropy of projections2008
- Author(s)
  F. Hiai and Y. Ueda
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 44
  
  Pages: 49-89
- NAID
  110006574489
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Error exponents in hypothesis testing for correlated states on a spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi, and T. Ogawa
- Journal Title
  
  J. Math. Phys. 49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Asymptotic distinguishability measures for shift-invariant quasi-free states of fermionic lattice systems2008
- Author(s)
  M. Mosonyi, F. Hiai, T. Ogawa and M. Fannes
- Journal Title
  
  Journal of Mathematical Physics 49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Free energy density for mean field perturbation of states of a one-dimensional spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi, H. Ohno, D. Petz
- Journal Title
  
  Rev. Math. Phys
  
  Volume: no.3 Pages: 335-365
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Notes on microstate free entropy of projections2008
- Author(s)
  F. Hiai and Y. Ueda
- Journal Title
  
  Publ. Res. Inst. Math. Sci. 44
  
  Pages: 49-89
- NAID
  110006574489
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Asymptotic distinguishability measures for shift-invariant quasi-free states of fermionic lattice systems2008
- Author(s)
  M. Mosonyi, F. Hiai, T. Ogawa, and M. Fannes
- Journal Title
  
  J.Math.Phys. 49, 072104
  
  Pages: 1-11
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Asymptotic distinguishability measures for shift-invariant quasi-free states of fermionic lattice systems2008
- Author(s)
  M. Mosonyi, F. Hiai, T. Ogawa and M. Fames
- Journal Title
  
  J. Math. Phys. 49
  
  Pages: 1-11
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Notes on microstate free entropy of projections2008
- Author(s)
  F. Hiai, Y. Ueda
- Journal Title
  
  Publ. Res. Inst. Math. Sci., Kyoto Univ. 44
  
  Pages: 49-89
- NAID
  110006574489
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Error exponents in hypothesis testing for correlated states on a spin chain2008
- Author(s)
  F. Hiai, M. Mosonyi and T. Ogawa
- Journal Title
  
  J. Math. Phys 49
  
  Pages: 1-22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] Large deviations and Chernoff bound for certain correlated states on a spin chain2007
- Author(s)
  F. Hiai, M. Mosonyi, T. Ogawa
- Journal Title
  
  J. Math. Phys
  
  Volume: no.12 Pages: 123301-123301
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Large deviations and Chernoff bound for certain correlated states on a spin chain2007
- Author(s)
  F. Hiai, M. Mosonyi, T. Ogawa
- Journal Title
  
  J.Math.Phys. 48, 123301
  
  Pages: 1-19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] A limit relation for entropy and channel capacity per unit cost2007
- Author(s)
  I. Csiszar, F. Hiai and D. Petz
- Journal Title
  
  J. Math. Phys. 48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Limit relation for entropy and channel capacity per unit cost2007
- Author(s)
  I. Csiszar, F. Hiai, and D. Petz
- Journal Title
  
  J. Math. Phys. 48, 092102
  
  Pages: 1-10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Large deviations and Chernoff bound for certain correlated states on a spin chain2007
- Author(s)
  F. Hiai, M. Mosonyi, and T. Ogawa,
- Journal Title
  
  J. Math. Phys. 48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] A limit relation for entropy and channel capacity per unit cost2007
- Author(s)
  I. Csiszar, F. Hiai, and D. Petz
- Journal Title
  
  J. Math. Phys 48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Large deviations and Chernoff bound for certain correlated states on a spin chain2007
- Author(s)
  F. Hiai, M. Mosonyi and T. Ogawa
- Journal Title
  
  J. Math. Phys. 48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Limit relation for quantum entropy and channel capacity per unit cost2007
- Author(s)
  I. Csiszar, F. Hiai, D. Petz
- Journal Title
  
  J. Math. Phys
  
  Volume: no.9 Pages: 92102-92102
- NAID
  120002337738
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204015
[Journal Article] Large deviations for functions of two random projection matrices2006
- Author(s)
  F.Hiai, D.Petz
- Journal Title
  
  Acta Sci.Math.(Szeged) 72
  
  Pages: 581-609
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] Free transportation cost inequalities for noncommutative multi-variables2006
- Author(s)
  H.Hiai, Y.Ueda
- Journal Title
  
  Infin.Dimens.Anal.Quantum Probab.Relat.Top. 9
  
  Pages: 391-412
- NAID
  120006714543
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] Large deviations for functions of two random projection matrices2006
- Author(s)
  F.Hiai, D.Petz
- Journal Title
  
  Acta Sci. Math. (Szeged) 72
  
  Pages: 581-609
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] A free analogue of the transportation cost inequality on the circle2006
- Author(s)
  F.Hiai, D.Petz
- Journal Title
  
  Banach Center Publications 73
  
  Pages: 199-206
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Large deviations for functions of two random projection matrices2006
- Author(s)
  F. Hiai and D. Petz
- Journal Title
  
  Acta Sci. Math. (Szeged) 72
  
  Pages: 581-609
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] A free logarithmic Sobolev inequality on the circle2006
- Author(s)
  Fumio Hiai
- Journal Title
  
  Canad. Math. Bull. 49
  
  Pages: 389-406
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] A free logarithmic Sobolev inequality on the circle2006
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Canad.Math.Bull. 20(印刷中)
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] A free logarithmic Sobolev inequality on the circle2006
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Canad.Math.Bull. 49
  
  Pages: 389-406
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] A free logarithmic Sobolev inequality on the circle, Canad2006
- Author(s)
  F. Hiai, D. Petz and Y. Ueda
- Journal Title
  
  Canad. Math. Bull 49
  
  Pages: 389-406
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Large deviations for functions of two random projection matrices2006
- Author(s)
  Fumio Hiai
- Journal Title
  
  Acta Sci. Math. (Szeged) 72
  
  Pages: 581-609
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Free transportation cost inequalities for non-commutative multi-variables2006
- Author(s)
  F.Hiai, Y.Ueda
- Journal Title
  
  Infinite Dimensional Analysis, Quantum Probability and Related Topics 9
  
  Pages: 391-412
- NAID
  120006714543
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Free transportation cost inequalities for noncommutative multi-variables2006
- Author(s)
  F.Hiai, Y.Ueda
- Journal Title
  
  Infin. Dimens. Anal. Quantum Probab. Rale. Top. 9
  
  Pages: 391-412
- NAID
  120006714543
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] Free transportation cost inequalities for non-commutative multi-variables2006
- Author(s)
  F. Hiai, and Y. Ueda
- Journal Title
  
  Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9
  
  Pages: 391-412
- NAID
  120006714543
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Free transportation cost inequalities for noncommutative multi-variables2006
- Author(s)
  H.Hiai, Y.Ueda
- Journal Title
  
  Infin.Dimens.Anal.Quantum Probab. Relat. Top. 9
  
  Pages: 391-412
- NAID
  120006714543
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] Large deviations for functions of two random projection matrices2006
- Author(s)
  F. Hiai, and D. Petz
- Journal Title
  
  Acta Sci. Math.(Szeged) 72
  
  Pages: 581-609
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] A free logarithmic Sobolev inequality on the circle2006
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Canad. Math. Bull. 49
  
  Pages: 389-406
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] A free logarithmic Sobolev inequality on the circle2006
- Author(s)
  F. Hiai, D. Petz, and Y. Ueda
- Journal Title
  
  Canad. Math. Bull. 49
  
  Pages: 389-406
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Free transportation cost inequalities for non-commutative multi-variables, Infinite Dimensional Analysis2006
- Author(s)
  F. Hiai and Y. Ueda
- Journal Title
  
  Quantum Probability and Related Topics 9
  
  Pages: 391-412
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Free transportation cost inequalities for non-commutative multi-variables2006
- Author(s)
  Fumio Hiai
- Journal Title
  
  Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9
  
  Pages: 391-412
- NAID
  120006714543
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Free analog of pressure and its Legendre transform2005
- Author(s)
  F.Hiai
- Journal Title
  
  Comm.Math.Phys. (発表予定)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Equilibrium states and their entropy densities in gauge-invariant C*-systems2005
- Author(s)
  N. Akiho, F. Hiai, D. Petz
- Journal Title
  
  Rev. Math. Phys. 17
  
  Pages: 365-389
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Equilibrium states and their entropy densities in gauge-invariant C-systems, Rev2005
- Author(s)
  N. Akiho, F. Hiai and D. Petz
- Journal Title
  
  Rev. Math. Phys 17
  
  Pages: 365-389
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Equilibrium states and their entropy densities in gauge-invariant C*-systems2005
- Author(s)
  N.Akiho, F.Hiai, D.Petz
- Journal Title
  
  Rev.Math.Phys. 17
  
  Pages: 365-389
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] Equilibrium states and their entropy densities in gauge-invariant C^*-systems2005
- Author(s)
  N.Akiho, F.Hiai, D.Petz
- Journal Title
  
  Rev.Math.Phys. 17
  
  Pages: 365-389
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Free analog of pressure and its Legendre transform2005
- Author(s)
  F.Hiai
- Journal Title
  
  Comm. Math. Phys. 255
  
  Pages: 229-252
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Equilibrium states and their entropy densities in gauge-invariant C^*-systems2005
- Author(s)
  N.Akiho, F.Hiai, D.Petz
- Journal Title
  
  Rev.Math.Phys. 17
  
  Pages: 365-389
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Free analog of pressure and its Legendre transform2005
- Author(s)
  F.Hiai
- Journal Title
  
  Comm.Math.Phys. 255
  
  Pages: 229-252
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Equilibrium states and their entropy densities in gauge-invariant C^*-systems2005
- Author(s)
  N.Akiho, F.Hiai, D.Petz
- Journal Title
  
  Rev. Math. Phys. 17
  
  Pages: 365-369
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Free analog of pressure and its Legendre transform2005
- Author(s)
  Fumio Hiai
- Journal Title
  
  Comm.Math.Phys. 255
  
  Pages: 229-252
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Free analog of pressure and its Legendre transform2005
- Author(s)
  F. Hiai
- Journal Title
  
  Comm. Math. Phys. 255
  
  Pages: 229-252
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Free analog of pressure and its Legendre transform, Comm2005
- Author(s)
  F. Hiai
- Journal Title
  
  Math. Phys. 255
  
  Pages: 229-252
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340021
[Journal Article] Equilibrium states and their entropy densities in gauge-invariant C^*-systems2005
- Author(s)
  Nobuyuki Akiho, Fumio Hiai, Denes Petz
- Journal Title
  
  Rev.Math.Phys. 17
  
  Pages: 365-389
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Free analog of pressure and its Legendre transform2005
- Author(s)
  Fumio Hiai
- Journal Title
  
  Comm.Math.Phys. 255
  
  Pages: 229-252
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Free analog of pressure and its Legendre transform2005
- Author(s)
  F.Hiai
- Journal Title
  
  Comm.Math.Phys. 255
  
  Pages: 229-252
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] Free analog of pressure and its Legendre transform2005
- Author(s)
  F.Hiai
- Journal Title
  
  Comm.Math.Phys. 255
  
  Pages: 229-252
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] A free logarithmic Sobolev inequality on the circle2005
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Canad.Math.Bull. (発表予定)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Equilibrium states and their entropy densities in gauge-invariant C^*-systems2005
- Author(s)
  N.Akiho, F.Hiai, D.Petz
- Journal Title
  
  Rev.Math.Phys. 17
  
  Pages: 365-389
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] Free transportation cost inequalities via random matrix approximation2004
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Prob.Theory Related Fields 130
  
  Pages: 199-221
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Proceedings of the second Sendai Workshop on Quantum Probability and Quantum Information2004
- Author(s)
  F.Hiai, N.Obata, M.Ozawa (eds.)
- Journal Title
  
  Interdisciplinary Information Sciences Vol.10, No.1
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Free transportation cost inequalities via random matrix approximation2004
- Author(s)
  F, Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Probab.Theory Related Fields 130
  
  Pages: 199-221
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Free transportation cost inequalities via random matrix approximation2004
- Author(s)
  F.Hiai (with D.Petz, Y.Ueda)
- Journal Title
  
  Probab.Theory Related Fields 130
  
  Pages: 199-221
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Submultiplicativity vs subadditivity for unitarily invariant norms2004
- Author(s)
  F.Hiai, X.Zhan
- Journal Title
  
  Linear Algebra Appl 377
  
  Pages: 155-164
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Free transportation cost inequalities via random matrix approximation2004
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Probab.Theory Related Fields 130
  
  Pages: 199-221
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Submultiplicativity vs subadditivity for unitarily invariant norms2004
- Author(s)
  F.Hiai, X.Zhan
- Journal Title
  
  Linear Algebra Appl. 377
  
  Pages: 155-164
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Submultiplicativity vs subadditivity for unitarily invariant norms2004
- Author(s)
  F.Hiai (with X.Zhan)
- Journal Title
  
  Linear Algebra Appl. 377
  
  Pages: 155-164
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Submultiplicativity vs subadditivity for unitarily invariant norms2004
- Author(s)
  F.Hiai, X.Zhan
- Journal Title
  
  Linear Algebra Appl. 377
  
  Pages: 155-164
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Free transportation cost inequalities via random matrix approximation,2004
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Probab. Theory Related Fields 130
  
  Pages: 199-221
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Submultiplicativity vs subadditivity for unitarily invariant norms2004
- Author(s)
  F.Hiai, X.Zhan
- Journal Title
  
  Linear Algebra Appl. 377
  
  Pages: 155-164
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] Free transportation cost inequalities via random matrix approximation2004
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Probab.Theory Related Fields 130
  
  Pages: 199-221
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] Free transportation cost inequalities via random matrix approximation2004
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Probab.Theory Related Fields 130
  
  Pages: 199-221
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Automorphisms of free product-type and their crossed-products2003
- Author(s)
  F.Hiai, Y.Ueda
- Journal Title
  
  J.Operator Theory 50
  
  Pages: 119-130
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] q-deformed Araki-Woods algebras2003
- Author(s)
  F.Hiai
- Journal Title
  
  Operator Algebras and Mathematical Physics (Theta, Bucharest) 6
  
  Pages: 169-202
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Automorphisms of free product-type and their crossed-products2003
- Author(s)
  F.Hiai, Y.Ueda
- Journal Title
  
  J.Operator Theory 50
  
  Pages: 119-130
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Automorphisms of free product-type and their crossed-products2003
- Author(s)
  F.Hiai, Y.Ueda
- Journal Title
  
  J. Operator Theory 50
  
  Pages: 119-130
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Means of Hilbert Space Operators2003
- Author(s)
  F.Hiai (with H.Kosaki)
- Journal Title
  
  Lecture Notes in Mathematics(Springer) 1820
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] q-deformed Araki-Woods algebras2003
- Author(s)
  F.Hiai
- Journal Title
  
  Operator Algebras and Mathematical Physics(edited by J.-M.Combes et al.)(Theta, Bucharest)
  
  Pages: 169-202
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Automorphisms of free product-type and their crossed-products2003
- Author(s)
  F.Hiai (Y.Ueda)
- Journal Title
  
  J.Operator Theory 50
  
  Pages: 119-130
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Free relative entropy for measures and a corresponding perturbation theory2002
- Author(s)
  F.Hiai (with M.Mizuo, D.Petz)
- Journal Title
  
  J.Math.Soc.Japan 54
  
  Pages: 679-718
- NAID
  10009480996
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Free relative entropy for measures and a corresponding perturbation theory2002
- Author(s)
  F.Hiai, M.Mizuo, D.Petz
- Journal Title
  
  J.Math.Soc.Japan 54
  
  Pages: 679-718
- NAID
  10009480996
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Inequalities involving unitarily invariant norms and operator monotone functions2002
- Author(s)
  F.Hiai (with X.Zhan)
- Journal Title
  
  Linear Algebra Appl. 341
  
  Pages: 151-169
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Inequalities involving unitarily invariant norms and operator monotone functions2002
- Author(s)
  F.Hiai, X.Zhan
- Journal Title
  
  Linear Algebra Appl. 341
  
  Pages: 151-169
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] A free logarithmic Sobolev inequality on the circle
- Author(s)
  Fumio Hiai
- Journal Title
  
  Canad.Math.Bull. (印刷中)
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Concavity of certain matrix trace and norm functions
- Author(s)
  F. Hiai
- Journal Title
  
  Linear AlgebraAppl., to appear
- URL
  http://dx.doi.org/10.1016/j.laa.2013.04.020
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] A free logarithmic Sobolev inequality on the circle
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Canad.Math.Bull. (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Free analog of pressure and its Legendre transform
- Author(s)
  F.Hiai
- Journal Title
  
  Commun.Math.Phys. (印刷中)
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] A free logarithmic Sobolev inequality on the circle
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Canad.Math.Bull. (印刷中)
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] A free logarithmic Sobolev inequality on the unit circle
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Canad.Math.Bull.
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] Free analog of pressure and its Legendre transform
- Author(s)
  F.Hiai
- Journal Title
  
  Commun.Math.Phys. (印刷中)
- Data Source
  KAKENHI-PROJECT-16340045
[Journal Article] Ricard, Higher order extension of Lowner's theory: Operator k-tone functions
- Author(s)
  U. Franz, F. Hiai and E
- Journal Title
  
  Trans. Amer. Math. Soc., to appear
- URL
  http://www.ams.org/jourcgi/jrnl_toolbar_nav/tran_all
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] Free analog of pressure and its Legendre transform
- Author(s)
  F.Hiai
- Journal Title
  
  Comm.Math.Phys. (印刷中)
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] A free logarithmic Sobolev inequality on the circle
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Canad.Math.Bull. (印刷中)
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] A free logarithmic Sobolev inequality on the circle
- Author(s)
  Fumio Hiai, Denes Petz, Yoshimichi Ueda
- Journal Title
  
  Canad.Math.Bull. (印刷中)
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] A free analogue of the transportation cost inequality on the circle
- Author(s)
  F.Hiai, D.Petz
- Journal Title
  
  Banach Center Publications (印刷中)
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] A free logarithmic Sobolev inequality on the circle
- Author(s)
  F.Hiai, D.Petz, Y.Ueda
- Journal Title
  
  Canad. Math. Bull. (In press)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Free analog of pressure and its Legendre transform
- Author(s)
  F.Hiai
- Journal Title
  
  Comm.Math.Phys. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] A new approach to mutual information. II
- Author(s)
  F.Hiai
- Journal Title
  
  Banach Center Publications (未定, 印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] A log-Sobolev type inequality for free entropy of two projections
- Author(s)
  Fumio Hiai
- Journal Title
  
  Ann. Inst. H. Poincare Probab. Statist. (印刷中)
- NAID
  120006714550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] On matrix inequalities between the power means: counterexamples
- Author(s)
  K. M. R. Audenaert and F. Hiai
- Journal Title
  
  Linear Algebra Appl., to appear
- URL
  http://dx.doi.org/10.1016/j.laa.2013.04.012
- Data Source
  KAKENHI-PROJECT-21540208
[Journal Article] A free logarithmic Sobolev inequality on the circle
- Author(s)
  F.Hiai (with D.Petz, Y.Ueda)
- Journal Title
  
  Canad.Math.Bull. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Presentation] Quantum f-divergences in von Neumann algebras2019
- Author(s)
  F. Hiai
- Organizer
  Mathematical Aspects in Current Quantum Information Theory 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Operator means of probability measures2019
- Author(s)
  F. Hiai
- Organizer
  Advances in the Geometric and Analytic Theory of Convex Cones
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Matrix limit theorems of reciprocal Lie-Trotter type2019
- Author(s)
  F. Hiai
- Organizer
  International Conference on Matrix Theory with Applications: Combinatorics, Optimization, Data Analysis
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Generalized Lyapunov equations and optimized measurements2019
- Author(s)
  F. Hiai
- Organizer
  Quantum Information Theory and Mathematical Physics 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Conditional expectations and martingales for barycentric maps on metric spaces2018
- Author(s)
  F. Hiai
- Organizer
  Workshop on barycenters, convexity on metric spaces and positive operators
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Ando-Hiai type inequalities for multivariate operator means2018
- Author(s)
  F. Hiai
- Organizer
  2018 International Conference on Matrix Inequalities and Matrix Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Log-majorization related to Renyi divergences2018
- Author(s)
  F. Hiai
- Organizer
  2018 China-Korea International Conference on Matrix Theory with Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Quantum f-divergences in operator algebras2018
- Author(s)
  F. Hiai
- Organizer
  Theory and Mathematical Physics 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] 多変数の行列・作用素平均2018
- Author(s)
  日合文雄
- Organizer
  日本数学会年会, 函数解析学分科会特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] 多変数の行列・作用素平均2018
- Author(s)
  日合文雄
- Organizer
  日本数学会年会，函数解析学分科会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Quantum f-divergences in von Neumann algebras2018
- Author(s)
  F. Hiai
- Organizer
  The 7th International Conference on Matrix Analysis and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Quantum f-divergences in von Neumann algebras2018
- Author(s)
  F. Hiai
- Organizer
  Workshop: Beyond I.I.D. in Information Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Convergence theorems for barycentric maps2018
- Author(s)
  F. Hiai
- Organizer
  18th Workshop: Noncommutative Probability, Operators Algebras, Random Matrices and Related Topics, with Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Von Neumann環における量子ダイバージェンス2017
- Author(s)
  日合文雄
- Organizer
  RIMS共同研究(公開型)「量子場の数理とその周辺」
- Invited
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Operator means deformed by a fixed point method2017
- Author(s)
  F. Hiai
- Organizer
  2017 Korea-China International Conference on Matrix Theory with Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Different quantum divergences in general von Neumann algebras2017
- Author(s)
  F. Hiai
- Organizer
  Workshop on Operator algebras and Quantum Information Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Log-majorization and Lie-Trotter formula for the Cartan barycenter2017
- Author(s)
  F. Hiai
- Organizer
  2017 Meeting of the International Linear Algebra Society
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05266
[Presentation] Reversibility of stochastic maps via quantum divergences2016
- Author(s)
  F. Hiai
- Organizer
  17th Workshop on Non-commutative Harmonic Analysis
- Place of Presentation
  ベドレボ(ポーランド)
- Year and Date
  2016-07-29
- Invited
- Data Source
  KAKENHI-PROJECT-26400103
[Presentation] Generalized log-majorization and multivariate Golden-Thompson type inequalities2016
- Author(s)
  F. Hiai
- Organizer
  2016 China-Korea International Conference on Matrix Theory with Applications
- Place of Presentation
  上海(中国)
- Year and Date
  2016-12-30
- Invited
- Data Source
  KAKENHI-PROJECT-26400103
[Presentation] Quantum divergences and reversibility2016
- Author(s)
  F. Hiai
- Organizer
  Workshop "Mathematical Aspects in Current Quantum Information Theory"
- Place of Presentation
  テジョン（韓国）
- Year and Date
  2016-02-15
- Invited
- Data Source
  KAKENHI-PROJECT-26400103
[Presentation] A generalization of Araki's log-majorization2016
- Author(s)
  F. Hiai
- Organizer
  The 20th Conference of the International Linear Algebra Society
- Place of Presentation
  ルーヴェン(ベルギー)
- Year and Date
  2016-07-15
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400103
[Presentation] Different quantum f-divergences and the reversibility of quantum operations2016
- Author(s)
  F. Hiai
- Organizer
  Workshop on Quantum Information Theory and Mathematical Physics
- Place of Presentation
  ブダペスト(ハンガリー)
- Year and Date
  2016-09-19
- Invited
- Data Source
  KAKENHI-PROJECT-26400103
[Presentation] Anti Lie-Trotter formula2015
- Author(s)
  F. Hiai
- Organizer
  International Workshop: Algebraic and Analytic Aspects of Quantum Levy Processes
- Place of Presentation
  グライフスワルド（ドイツ）
- Year and Date
  2015-03-12
- Invited
- Data Source
  KAKENHI-PROJECT-26400103
[Presentation] Concavity/convexity of certain matrix trace and norm functions2015
- Author(s)
  F. Hiai
- Organizer
  Workshop on Quantum Information Theory and Related Topics
- Place of Presentation
  ハノイ（ベトナム）
- Year and Date
  2015-09-01
- Invited
- Data Source
  KAKENHI-PROJECT-26400103
[Presentation] Different approaches to mutual information in free probability theory2014
- Author(s)
  F. Hiai
- Organizer
  Random Matrix Theory: Foundations and Applications
- Place of Presentation
  クラコフ（ポーランド）
- Year and Date
  2014-07-04
- Invited
- Data Source
  KAKENHI-PROJECT-26400103
[Presentation] Powers of nonnegative matrices2014
- Author(s)
  F. Hiai
- Organizer
  ARCC Workshop: Positivity, Graphical Models, and Modeling of Complex Multivariate Dependencies
- Place of Presentation
  パロアルト（米国）
- Year and Date
  2014-10-15
- Invited
- Data Source
  KAKENHI-PROJECT-26400103
[Presentation] Anti Lie-Trotter formula2014
- Author(s)
  F. Hiai
- Organizer
  The 19th Conference of the International Linear Algebra Society
- Place of Presentation
  ソウル（韓国）
- Year and Date
  2014-08-06
- Invited
- Data Source
  KAKENHI-PROJECT-26400103
[Presentation] Anti-norms and superadditivity inequalities on positive matrices and in type II_1 factors2014
- Author(s)
  F. Hiai
- Organizer
  16th Workshop: Non-commutative Harmonic Analysis
- Place of Presentation
  ベドレボ（ポーランド）
- Year and Date
  2014-07-11
- Invited
- Data Source
  KAKENHI-PROJECT-26400103
[Presentation] Convexity of quasi-entropy type functions: Lieb's and Ando's convexity theorems revisited, International Workshop on Anomalous Statistics2012
- Author(s)
  F. Hiai
- Organizer
  Generalized Entropies, and Information Geometry
- Place of Presentation
  Nara Women's University, Nara, Japan
- Year and Date
  2012-03-10
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Concavity of certain matrix trace and norm functions2012
- Author(s)
  F. Hiai
- Organizer
  Matrices and Operators, Conference in Honour of Sixtieth Birthday of Rajendra Bhatia
- Place of Presentation
  Indian Institute of Science, Bangarole, India
- Invited
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Concavity of certain matrix trace and norm functions,"Matrices and Operators"2012
- Author(s)
  F. Hiai
- Organizer
  Conference in Honour of Sixtieth Birthday of Rajendra Bhatia
- Place of Presentation
  Indian Institute of Science, Bangarole, India
- Year and Date
  2012-12-29
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Analytic functional calculus of operator convex/monotone functions2012
- Author(s)
  F. Hiai
- Organizer
  The 2012 KOTAC International Conference: Operator Theory and Its Applications
- Place of Presentation
  Chungbuk National University, Cheongju, Korea
- Year and Date
  2012-06-22
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Convexity of quasi-entropy type functions : Lieb's and Ando's convexity theorems revisited2012
- Author(s)
  F.Hiai
- Organizer
  International Workshop on Anomalous Statistics, Generalized Entropies, and Information Geometry
- Place of Presentation
  Nara Women's University, Nara, Japan(招待講演)
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Higher order extension of Lowner's theory : Operator k-tone functions2011
- Author(s)
  Fumio Hiai
- Organizer
  作用素論・作用素環論研究集会
- Place of Presentation
  琉球大学, 50周年記念館(招待講演)
- Year and Date
  2011-11-04
- Data Source
  KAKENHI-PROJECT-23340027
[Presentation] Generalizing Minkowski's determinantal inequality (joint work with J.-C. Bourin), International Conference2011
- Author(s)
  F. Hiai
- Organizer
  Product Systems and Independence in Quantum Dynamics
- Place of Presentation
  Alfried Krupp Wissenschaftskolleg, Greifswald, Germany
- Year and Date
  2011-03-14
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Generalizing Minkowski's determinantal inequality (joint work with J.-C.Bourin)2011
- Author(s)
  F.Hiai
- Organizer
  International Conference "Product Systems and Independence in Quantum Dynamics"
- Place of Presentation
  Greifswald, Grermany
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Convexity of quasi-entropy type functions: Lieb's and Ando's convexity theorems revisited2011
- Author(s)
  F. Hiai
- Organizer
  The 6th Jikji Workshop: Infinite Dimensional Analysis and Quantum Probability
- Place of Presentation
  National Institute for Mathematical Sciences, Daejeon, Korea
- Year and Date
  2011-01-10
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Toward the final version of Lieb-Ando concavity2011
- Author(s)
  日合文雄
- Organizer
  研究集会「スペクトル,数域などの作用素の幾何的特性量を用いた作用素の構造研究」
- Place of Presentation
  京都大学,数理解析研究所(招待講演)
- Year and Date
  2011-11-15
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Free energy density in one-dimensional spin chains2011
- Author(s)
  Fumio Hiai
- Organizer
  Summer school on Non-equilibrium statistical Mechanics
- Place of Presentation
  Montreal, Canada(招待講演)
- Year and Date
  2011-07-20
- Data Source
  KAKENHI-PROJECT-23340027
[Presentation] Convexity of quasi-entropy type functions : Lieb's and Ando's convexity theorems revisited2011
- Author(s)
  F. Hiai
- Organizer
  The 6th Jikji Workshop : Infinite Dimensional Analysis and Quantum Probability
- Place of Presentation
  Daejeon, Korea
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Higher order extension of L"owner's theory : Operator k-tone functions2011
- Author(s)
  日合文雄
- Organizer
  作用素論・作用素環論研究集会
- Place of Presentation
  琉球大学,50周年記念館(招待講演)
- Year and Date
  2011-11-04
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Jensen and Minkowski type inequalities for operator means (joint work with J.-C.Bourin)2011
- Author(s)
  F.Hiai
- Organizer
  14th Workshop "Non-commutative Harmonic Analysis"
- Place of Presentation
  The Mathematical Research and Conference Center, Bedlewo, Poland(招待講演)
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Toward the final version of Lieb-Ando concavity2011
- Author(s)
  日合文雄
- Organizer
  研究集会「スペクトル,数域などの作用素の幾何的特性量を用いた作用素の構造研究」
- Place of Presentation
  数理解析研究所
- Year and Date
  2011-11-15
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Free energy density in one-dimensional spin chains2011
- Author(s)
  F. Hiai
- Organizer
  Summer school on "Non-equilibrium statistical mechanics"
- Place of Presentation
  Centre de recherches mathematiques, Montreal, Canada
- Year and Date
  2011-07-20
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Higher order extension of Lowner's theory: Operator k-tone functions2011
- Author(s)
  日合文雄
- Organizer
  作用素論・作用素環論研究集会
- Place of Presentation
  琉球大学
- Year and Date
  2011-11-04
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Convexity of quasi-entropy type functions : Lieb's and Ando's convexity theorems revisited2011
- Author(s)
  F.Hiai
- Organizer
  The 6th Jikji Workshop : Irfiinite Dimensional Analysis and Quantum Probability
- Place of Presentation
  National Institute for Mathematical Sciences, Daejeon, Korea
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Generalizing Minkowski's determinantal inequality (joint work with J.-C.Bourin)2011
- Author(s)
  F.Hiai
- Organizer
  International Conference "Product Systems and Independence in Quantum Dynamics"
- Place of Presentation
  Alfried Krupp Wissenschaftskolleg, Greifswald, Germany
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Generalizing Minkowski's determinantal inequality2011
- Author(s)
  F. Hiai
- Organizer
  International Conference Product Systems and Independence in Quantum Dynamics
- Place of Presentation
  Greifswald, Germany
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Jensen and Minkowski type inequalities for operator means (joint work with J.-C. Bourin)2011
- Author(s)
  F. Hiai
- Organizer
  14th Workshop"Non-commutative Harmonic Analysis"
- Place of Presentation
  Bedlewo, Poland
- Year and Date
  2011-09-30
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Free energy density in one-dimensional spin chains2011
- Author(s)
  F.Hiai
- Organizer
  Summer school on "Non-equilibrium statistical mechanics"
- Place of Presentation
  Centre de recherches math'ematiques, Montr'eal, Canada(招待講演)
- Year and Date
  2011-07-20
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Riemannian metrics on positive definite matrices related to means (joint work with Denes Petz)2010
- Author(s)
  F.Hiai
- Organizer
  Information Geometry and its Applications III
- Place of Presentation
  Max-Planck-Institut, Leipzig, Germany
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Operator log-convexity and its applications2010
- Author(s)
  F.Hiai
- Organizer
  Program : Quantum Information Theory
- Place of Presentation
  Institut Mittag-Leffler, Djursholm, Sweden
- Year and Date
  2010-10-26
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Operator log-convex functions and operator means (joint work with T.Ando)2010
- Author(s)
  F.Hiai
- Organizer
  The 16th Conference of the International Linear Algebra Society
- Place of Presentation
  Palazzo dei Congress, Pisa, Italy
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Riemannian metrics on positive definite matrices related to means2010
- Author(s)
  F. Hiai
- Organizer
  Information Geometry and its Applications III
- Place of Presentation
  Leipzig, Germany
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Operator log-convex functions and operator means (joint work with T.Ando)2010
- Author(s)
  F.Hiai
- Organizer
  The 16th Conference of the International Linear Algebra Society
- Place of Presentation
  Palazzo dei Congress, Pisa, Italy
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Operator log-convexity and its applications2010
- Author(s)
  F.Hiai
- Organizer
  Program : Quantum Information Theory
- Place of Presentation
  Institut Mittag-Lefler, Djursholm, Sweden
- Year and Date
  2010-10-26
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Riemannian metrics on positive definite matrices related to means (joint work with Denes Petz)2010
- Author(s)
  F.Hiai
- Organizer
  Information Geometry and its Applications III
- Place of Presentation
  Max-Planck-Institut, Leipzig, Germany
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Operator log-convex functions and operator means (joint work with T. Ando)2010
- Author(s)
  F. Hiai
- Organizer
  the 16th Conference of the International Linear Algebra Society
- Place of Presentation
  Palazzo dei Congress, Pisa,Italy
- Year and Date
  2010-06-22
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Riemannian metrics on positive definite matrices related to means (joint work with Denes Petz)2010
- Author(s)
  F. Hiai
- Organizer
  Information Geometry and its Applications III
- Place of Presentation
  Max Planck Institut, Leipzig, Germany.
- Year and Date
  2010-08-04
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Operator log-convexity and its applications2010
- Author(s)
  F. Hiai
- Organizer
  Program: Quantum Information Theory
- Place of Presentation
  Institut Mittag-Leffler, Djursholm, Sweden
- Year and Date
  2010-10-26
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Riemannian metrics on positive definite matrices related to means2009
- Author(s)
  F. Hiai
- Organizer
  12th Workshop on Noncommutative Harmonic Analysis with Applications to Probability
- Place of Presentation
  Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] 平均と関連する正定値行列の空間におけるリーマン計量2009
- Author(s)
  日合文雄
- Organizer
  研究集会「作用素論における非可換解析学の展望」
- Place of Presentation
  京都大学理学研究科
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Riemannian metrics on positive definite matrices related to means(joint work with D. Petz)2009
- Author(s)
  F.Hiai
- Organizer
  12th Workshop "Non-commutative Harmonic Analysis"
- Place of Presentation
  Mathematical Research and Conference Center, Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Riemannian metrics on positive definite matrices related to means (joint work with D.Petz)2009
- Author(s)
  F. Hiai
- Organizer
  12th Workshop "Non-commutative Harmonic Analysis"
- Place of Presentation
  Bedlewo, Poland
- Year and Date
  2009-08-21
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] 正定値行列の空間における平均と関連するRiemann計量2009
- Author(s)
  日合文雄
- Organizer
  研究集会「作用素論における非可換解析学の展望」
- Place of Presentation
  数理解析研究所
- Year and Date
  2009-10-29
- Data Source
  KAKENHI-PROJECT-21540208
[Presentation] Pressure and its Legendre transform in microstate free entropy2008
- Author(s)
  F. Hiai
- Organizer
  11th Workshop "Non-commutative Harmonic Analysis with Applications to Probability"
- Place of Presentation
  Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-17340021
[Presentation] Free pressure, free entropy and hypothesis testing2008
- Author(s)
  F. Hiai
- Organizer
  Workshop on Free Probability, Extensions, and Applications
- Place of Presentation
  Banff, Canada
- Data Source
  KAKENHI-PROJECT-17340021
[Presentation] Free pressure, free entropy and hypothesis testing2008
- Author(s)
  F. Hiai
- Organizer
  Workshop "Free Probability, Extensions, and Applications"
- Place of Presentation
  Banff International Research Station
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Orbital approach to free entropy and free pressure2008
- Author(s)
  F. Hiai
- Organizer
  2008 Global Korean Mathematical Society International Conference
- Place of Presentation
  Jeju, Korea
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Mutual information and mutual pressure2008
- Author(s)
  F. Hiai
- Organizer
  Conference "Information and Communication"
- Place of Presentation
  Alfred Renyi Institute of Mathematics, Budapest, Hungary
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Mutual information and mutual pressure, Conference"Information and Communication"2008
- Author(s)
  F. Hiai
- Organizer
  Alfred Renyi Institute of Mathematics
- Place of Presentation
  Budapest, Hungary
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Mutual information and mutual pressure2008
- Author(s)
  Fumio Hiai
- Organizer
  Conference "Information and Communication"
- Place of Presentation
  Budapest, Hungary
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Mutual information and mutual pressure2008
- Author(s)
  F. Hiai
- Organizer
  Conference on Information and Communication
- Place of Presentation
  Budapest, Hungary
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Pressure and its Legendre transform in microstate free entropy2008
- Author(s)
  F. Hiai
- Organizer
  11th Workshop "Non-commutative Harmonic Analysis with Applications to Probability"
- Place of Presentation
  Mathematical Research and Conference Center, Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Pressure and its Legendre transform in microstate free entropy2008
- Author(s)
  F. Hiai
- Organizer
  11th Workshop"Non-commutative Harmonic Analysis with Applications to Probability"
- Place of Presentation
  Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Mutual information and mutual pressure2008
- Author(s)
  F. Hiai
- Organizer
  Conference "Information and Communication, " Alfred Renyi Institute of Mathematics
- Place of Presentation
  Budapest, Hungary
- Data Source
  KAKENHI-PROJECT-17340021
[Presentation] Pressure and its Legendre transform in microstate free entropy2008
- Author(s)
  Fumio Hiai
- Organizer
  11th Workshop "Non-commutative Harmonic Analysis with Applications to Probability"
- Place of Presentation
  Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-20340025
[Presentation] Orbital approach to free entropy and free pressure2008
- Author(s)
  F. Hiai
- Organizer
  2008 Global Korean Mathematical Society International Conference
- Place of Presentation
  ICC, Jeju, Korea
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Pressure and its Legendre transform in microstate free entropy2008
- Author(s)
  F. Hiai
- Organizer
  11th Workshop "Non-commutative Harmonic Analysis with Applications to Probability"
- Place of Presentation
  Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Free energy density for mean field perturbation of states of a one-dimensional spin chain2007
- Author(s)
  F. Hiai
- Organizer
  10th Workshop "Non-commutative Harmonic Analysis with Applications to Probability"
- Place of Presentation
  Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Entropy density and free energy density: variational expressions2007
- Author(s)
  F. Hiai
- Organizer
  14th Conference of the International Linear Algebra Society
- Place of Presentation
  Shanghai, China
- Data Source
  KAKENHI-PROJECT-17340021
[Presentation] Large deviations for certain correlated states on a spin chain2007
- Author(s)
  F. Hiai
- Organizer
  28th Conference on Quantum Probability and Related Topics
- Place of Presentation
  Guanajuato, Mexico
- Year and Date
  2007-09-08
- Data Source
  KAKENHI-PROJECT-17340021
[Presentation] Large deviations for certain correlated states on a spin chain2007
- Author(s)
  F. Hiai
- Organizer
  28th Conference "Quantum Probability and Related Topics"
- Place of Presentation
  CIMAT, Guanajuato, Mexico
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Entropy density and free energy density : variational expressions2007
- Author(s)
  F. Hiai
- Organizer
  14th Conference of the International Linear Algebra Society
- Place of Presentation
  Shanghai University, Shanghai, China
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Free energy density for mean field perturbation of states of aone-dimensional spin chain2007
- Author(s)
  F. Hiai
- Organizer
  10th Workshop "Non-commutative Harmonic Analysis with Applications to Probability"
- Place of Presentation
  Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-17340021
[Presentation] From entropy to relative entropy2007
- Author(s)
  F. Hiai
- Organizer
  The 2007 Korea Operator Theory and Its Applications Conference(KOTAC 2007)
- Place of Presentation
  Seoul, Korea
- Data Source
  KAKENHI-PROJECT-17340021
[Presentation] Discretization of classical mutual information(a joint work with D. Petz)2007
- Author(s)
  F. Hiai
- Organizer
  International Conference in QBIC 2007
- Place of Presentation
  Tokyo University of Science, Noda, Japan
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] From entropy to relative entropy2007
- Author(s)
  F. Hiai
- Organizer
  The 2007 Korea Operator Theory and Its Applications Conference(KOTAC 2007)
- Place of Presentation
  Hanyang University, Seoul, Korea
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Free transportation cost inequality and free pressure--Problems-2006
- Author(s)
  F. Hiai
- Organizer
  ARCC Workshop"Free Analysis"
- Place of Presentation
  American Institute of Mathematics, Palo Alto
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Inequalities related to free entropy-Baby Talk--2006
- Author(s)
  F. Hiai
- Organizer
  9th Workshop "Non-commutative Harmonic Analysis with Applications to Non-commutative Probability"
- Place of Presentation
  Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Orbital approach to the microstate free entropy2006
- Author(s)
  F. Hiai
- Organizer
  9th Workshop"Non-commutative Harmonic Analysis with Applications to Non-commutative Probability"
- Place of Presentation
  Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Orbital approach to free entropy dimension(based on joint work with Y. Ueda and T. Miyamoto)2006
- Author(s)
  F. Hiai
- Organizer
  Luminy conference on random matrices
- Place of Presentation
  CIRM, Luminy, France
- Data Source
  KAKENHI-PROJECT-17340043
[Presentation] Free transportation cost inequality and random matrix approximation2005
- Author(s)
  F. Hiai
- Organizer
  Fejer-Riesz Conference
- Place of Presentation
  Eger, Hungary
- Data Source
  KAKENHI-PROJECT-17340043

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76. 竹内護 (40007761)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
77. 麻生透 (00111352)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
78. 大矢雅則 (90112896)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
79. 大嶋秀明 (70047372)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
80. 内山充 (60112273)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
81. 鈴木正清 (60192621)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
82. 相羽明 (90202457)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
83. 千代延大造 (50197638)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
84. 望月清 (80026773)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
85. 森本宏明 (80166438)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
86. 林朗 (60240909)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
87. 小澤一文 (20100753)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
88. 内田興二 (20004294)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
89. Bourin Jean-Christophe

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
90. Ruskai M. B.

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
91. Audenaert K. M. R.

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
92. HANS Schneider

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
93. RICHARD Brualdi

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
94. HANS Schneid

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
95. 瀬尾祐貴

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Hiai Fumio 日合 文雄

HIAI Fumio 日合 文雄

Research Projects

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Matrix/operator analysis (inequalities, mean, majorization) and applications to quantum informationPrincipal Investigator

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Matrix/operator inequalities and applications to quantum information and free probabilityPrincipal Investigator

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Study of inequalities and variational principle in free probability theoryPrincipal Investigator

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Study of free probability and operator algebras based on random matricesPrincipal Investigator

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Hiai Fumio 日合文雄

HIAI Fumio 日合文雄