SAITO Kazuyuki 斎藤和之

… Alternative Names

斉藤和之サイトウカズユキ

SAITO K. 斉藤和之

斎藤和之サイトウカズユキ

Less

Researcher Number	60004397
Affiliation (based on the past Project Information) *help	1995 – 2004: 東北大学, 大学院・理学研究科, 助教授 1995: Tohoku University Graduate School of Science Associate Prof, 大学院理学研究科, 助教授 1988 – 1994: 東北大学, 理学部, 助教授 1986: 東北大, 理学部, 助教授
Review Section/Research Field	Principal Investigator 解析学 / Global analysis Except Principal Investigator 解析学 / Geometry / Global analysis
Keywords	Principal Investigator ノイマン環 / 作用素環 / 自己同型写像 / 単調完備C^-環 / C^-環 / 因子環 / monotone complete C^-algebras / C^-algebras / C^ー環 / ポテンシャル論 … More / マルチンコンパクト化 / ソボレフの埋蔵定理 / 半線形楕円型偏微分方程式 / 解析的ハミルトン系 / 平行移動不変作用素 / フーリエ・マルチプライヤー / テープリッツ作用素 / ハンケル作用素 / ナヴィア・ストークス方程式 / テンソル積 / Lebesgue測度 / 【C^】-環のデデキント完備化 / von Newmann環のJordan構造の一意的加法構造 / 【C^】環の正則完備化 / 【AW^】-環 / 【C^】-力学系 / 多次元フーリエ解析 / マルチプライヤー / 非線形偏微分方程式 / Kdv方程式 / 微分不等式 / C^環 / 正則完備化 / 既約表現 / 混合ノルム / ルベーグ空間 / 補間定理 / 多変数フーリエ変換 / 関数微分方程式 / 相空間 / 安定性 / ヴォルテラ型微分積分方程式 / 複素有界領域 / 正則自己同型 / リー群 / AFD-因子環 / 外部自己同型写像 / 量子測度 / C^_- 環 / automorphisms / von Neumann algebras / AFD-factors / outer automorphisms / operator algebras / quantum measures / III型因子環 / 弱コンパクト作用素 / グロタンディック空間 / フェルミC^-環 / バナッハ空間 / 絶対連続 / 正値線形汎関数 / Grothendieck空間 / ベクトル値測度 / 接合積 / フェルミ環 / AW^-環 / 正規線形汎関数 / Type III-factors / weakly compact operators / automorphism groups / Grothendieck Space / Fermion algebra / Banach spaces … More Except Principal Investigator 固有値 / 退化楕円型偏微分作用素 / 函数微分方程式 / リヤプノフ函数 / 反応拡散方程式系 / CR多様体 / 安定性 / 極小曲面 / 擬微分作用素 / C^-環 / 作用素環 / 極大函数 / 量子エルゴード性 / 結晶格子 / 不変微分作用素 / 行列変数函数 / アトム分解 / C^代数 / 点疑集解 / トレリ問題 / フ-リエ解析 / マルチプライヤ- / シュレディンガ-作用素 / 狭義擬凸領域 / マルチン境界 / フーリエ・マルチプライヤー / ウイルソン基底 / シュレデンガー作用素 / フェルミ因子環 / 多変数正則函数 / 反応拡散方程式素 / 退化した変分問題 / 半線型楕円型方程式 / 得異摂動解 / 平均曲率 / イノマン問題 / 調和測度 / カ-ルソン測度 / Morrey空間 / 接コ-シ-・リーマン方程式 / Hardy空間 / 拡散過程 / 反応拡散系 / 変分法 / 活性因子-抑制因子系 / 集中現象 / ベキ零リー群 / 接コ-シ-・リーマン作用素 / 楕円型偏微分作用素 / モレ-空間 / 特異積分 / 多変数フーリエ解析 / 最大函数 / 補間思理 / 指標 / D加群 / 原始イデアル / 既約表現 / 相空間 / チューブ領域 / リー群 / 量子力学 / 指数 / グラフ理論 / 無理数回転群 / 指数理論 / エルゴ-ト理論 / コンパクト作用素 / 因子環 / Jones指数 / 非可換微分幾何学 / 量子群 / 可解格子模型 / 解析的接合積 / Operator Algebra / Quantum Mechanics / Index of Subfactor / graph theory / リャプノフ函数 / 作用函数 / 正則完備化環 / 最小エネルギー解 / 非共鳴条件 / 超幾何的特異性 / ウィルソン基底 / ブロック函数 / 局所L^2評価 / アトム / 無条件基底 / ベルグマン計量 / ポアンカレ写像 / アプリオリ評価 / ベルヌ-イ・シフト / 不確定性原理 / Lyapunov function / Operating functions / Regular completion / Least energy solutions / Non-resonance condition / Hypergeometric singularities / Wilson basis / Bloch functions / 大域解析学 / 固有値問題 / 幾何解析 / スペクトル幾何学 / エルゴード理論 / Global Analysis / Eigonvalue Problem / Quantum Ergodiuty / Oyerator Algebras / 極大関数 / ウェーブレット / 退化楕円型偏微分作用業 / フーリエ変換 / ナヴィエ・ストークス方程式 / ガボー斜交系 / 調和写像 / C^一環 / 多変数フーリエ変換 / ガボ-斜交系 / ノイマン環 / 非線形双曲形方程式 / 非線形放物形方程式 / ハ-ル基底 / C^-代数 / 多変数フーリエ交換 / maximal function / wavelet / degenerate elliptic operator / minimal surface / C^-algebra / Fourier transform / Navier-Stokes equation / エルゴード性 / スペクトラム / ラプラシアン / ERGODICITY / SPECTRUM / EIGENVALUES / QUANTUM ERGODICITY / 離散的ラプラシアン / 中心極限定理 / ハーパー作用素 / アルバネーゼ写像 / 標準的実現 / グラフの調和写像 / 格子振動 / 離散幾何学 / グラフ / スペクトル幾何 / Discrete Laplacian / Crystal Lattice / Harper Operator / Central Limit Theorem / 離散幾何解析学 / ランダム・ウォーク / 大偏差原理 / 多面体 / 離散幾何解析 / 大偏差理論 / 磁場つき離散シュレディンガー作用素 / 乱歩 / エントロピー関数 / describe geometric analysis / crystal lattice / random walk / large deviation Less

Monotone complete C^*-algebras and their automorphism groupsPrincipal Investigator
- Principal Investigator
  
  SAITO Kazuyuki
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Commutative and Non-commutative Bloch Theory
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Meiji University
  Tohoku University
Fundamental Research of Discrete Geometric Analysis and Its Applications
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Automorphisms of operator algebras and quantum measuresPrincipal Investigator
- Principal Investigator
  
  SAITO Kazuyuki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
変分法とその反応拡散方程式系への応用
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
多様体上の退化楕円型擬微分方程式と多変数複素解析
- Principal Investigator
  
  新井仁之
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Harmonic Analysis and its Applications
- Principal Investigator
  
  IGARI Satoru
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
STUDY ON QUANTUM ERGODIC THEORY
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  TOHOKU UNIVERSITY
退化楕円型境界値問題の調和解析とその多変数複素解析への応用
- Principal Investigator
  
  新井仁之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学Principal Investigator
- Principal Investigator
  
  斎藤和之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
楕円型境界値問題と領域の幾何
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Study on Geometric Analysis
- Principal Investigator
  
  SUNADA Toshikazu
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  TOHOKU UNIVERSITY
ユークリッド空間,多様体上の調和解析とその応用
- Principal Investigator
  
  猪狩惺
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学Principal Investigator
- Principal Investigator
  
  斎藤和之
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Several Problems in Analysis
- Principal Investigator
  
  SHIMAKURA Norio
- Project Period (FY)
  1991 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOHOKU UNIVERSITY
調和解析と函数空間の研究
- Principal Investigator
  
  猪狩惺
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
Co-Operative research of Recent Topics in Operator Algebras
- Principal Investigator
  
  SAITO Kichi-suke
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Niigata University
偏微分方程式の実および複素解析的研究
- Principal Investigator
  
  SHIMAKURA Norio
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
調和解析と函数空間の研究
- Principal Investigator
  
  猪狩惺
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学Principal Investigator
- Principal Investigator
  
  斎藤和之
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
作用素環と諸種の解析学Principal Investigator
- Principal Investigator
  
  斉藤和之
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University

All 2005 2004 2003 2002

All Journal Article

[Journal Article] Operators on σ-complete C^*-algebras2005
- Author(s)
  J.K.Brooks, K.Saito, J.D.M.Wright
- Journal Title
  
  Quartery Journal of Mathematics(Oxford) (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] Operators on σ-complete C^*-algebras2005
- Author(s)
  斎藤和之(共著者JK.ブルックス, JDM.ライト)
- Journal Title
  
  Quarterly Journal of Mathematics(Oxford) (in press)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] Operator on σ-complete C^*algebras2005
- Author(s)
  斎藤和之(共著者J.K.ブルックス, J DM.ライト)
- Journal Title
  
  Quarterly Journal of Mathematics(Oxford) (出る予定)
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] When absolute continuity on C^*-algebras is automatically uniform2004
- Author(s)
  J.K.Brooks, K.Saito, J.D.M.Wright
- Journal Title
  
  Quartery Journal of Mathematics(Oxford) 55
  
  Pages: 31-40
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] When absolute continuity on C^*-algebra is automatically uniform2004
- Author(s)
  斎藤和之(共著者J.K.ブルシクス, J DM.ライト)
- Journal Title
  
  Quarterly Journal of Mathematics(Oxford) 55
  
  Pages: 31-40
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] When absolute continuity on C^*-algebras is automatically uniform2004
- Author(s)
  斎藤和之(共著者JK.ブルックス, JDM.ライト)
- Journal Title
  
  Quarterly Journal of Mathematics(Oxford) 55
  
  Pages: 31-40
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] Operator algebras and a theorem of Dieudonne2003
- Author(s)
  J.K.Brooks, K.Saito, J.D.M.Wright
- Journal Title
  
  Rendiconti del Circolo Matematico di Palermo 52
  
  Pages: 5-14
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] operator algebras and a theorem of Dieudonne2003
- Author(s)
  斎藤和之(共著者JK.ブルックス, JDM.ライト)
- Journal Title
  
  Rendiconti del circolo Mathematico di Palermo 52
  
  Pages: 5-14
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] C^*-algebras which are Grothendieck Spaces2003
- Author(s)
  K.Saito, J.D.M.Wright
- Journal Title
  
  Rendiconti del Circolo Matematico di Palermo 52
  
  Pages: 141-144
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] C^*-algebras which are Grothendieck spaces2003
- Author(s)
  斎藤和之(共著者JDM.ライト)
- Journal Title
  
  Rendiconti del circolo Mathematico di Palermo 52
  
  Pages: 141-144
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] A bounded sequence of normal functionals has a subsequence which is nearly weakly convergent2002
- Author(s)
  J.K, Brooks, K.Saito, J.D.M.Wright
- Journal Title
  
  Journal of Mathematical Analysis and Applications 276
  
  Pages: 160-167
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] Monotone completions of the Fermion algebra2002
- Author(s)
  K.Saito, J.D.M.Wright
- Journal Title
  
  Quartery Journal of Mathematics(Oxford) 52
  
  Pages: 365-370
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] Monotone completions of the Fermion algebra2002
- Author(s)
  斎藤和之(共著者JDM.ライト)
- Journal Title
  
  Quarterly Journal of Mathematics(Oxford) 53
  
  Pages: 365-370
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197
[Journal Article] A bounded sequence of normal functionals has a subsequence which is nearly weakly convergent2002
- Author(s)
  斎藤和之(共著者JK.ブルックス, JDM.ライト)
- Journal Title
  
  Journal of Mathematical Analysis and Applications 276
  
  Pages: 160-167
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540197

1. IGARI Satoru (50004289)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
2. TAKAGI Izumi (40154744)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
3. ARAI Hitoshi (10175953)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
4. KATO Junji (80004290)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. SHIMAKURA Norio (60025393)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. MASUDA Kyuya (10090523)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. NISHIKAWA Seiki (60004488)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. TOTAKE Takeshi (30004427)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. SUNADA Toshikazu (20022741)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. TACIZAWA Kazuya (80227090)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. BANDO Shigetoshi (40165064)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. 伊藤秀一 (90159905)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. 堀畑和弘 (10229239)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. 佐藤得志 (00261545)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 吉野崇 (50005774)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 上之郷高志 (60124567)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. 堀田良之 (70028190)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. KUROKI Gen (10234593)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. HASEGAWA Koji (30208483)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. KOTANI Motoko (50230024)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
21. 藤原耕二 (60229078)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. 中野史彦 (10291246)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
23. 今野一宏 (10186869)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 藤家雪朗 (00238536)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 会田茂樹 (90222455)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 中澤則之 (10227770)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 岡田正巳 (00152314)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 清水悟 (90178971)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 黒田正 (40004238)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. SAITO Kichi-suke (30018949)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. KISHIMOTO Akitaka (00128597)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. NAKAGAMI Yoshiomi (70091246)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. ARAKI Hujihiro (20027361)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. TOMIYAMA Jun (30006928)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. SAKAI Shoichiro (30130503)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. 井上淳 (50078557)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. UZAWA Tohru (40232813)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. MORITA Yasuo (20011653)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. NAYATANI Shin (70222180)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. URAKAWA Hajime (50022679)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. MORIMOTO Hiroko (50061974)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
42. TSUSHIMA Ryuji (20118764)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
43. SATO Atsuchi (70178705)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
44. AHARA Kazushi (80247147)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
45. 中村周 (50183520)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

SAITO Kazuyuki 斎藤 和之

斉藤 和之 サイトウ カズユキ

SAITO K. 斉藤 和之

斎藤 和之 サイトウ カズユキ

Research Projects

Research Products

Co-Researchers

Monotone complete C^*-algebras and their automorphism groupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Automorphisms of operator algebras and quantum measuresPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

作用素環と諸種の解析学Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

作用素環と諸種の解析学Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

SAITO Kazuyuki 斎藤和之

斉藤和之サイトウカズユキ

SAITO K. 斉藤和之

斎藤和之サイトウカズユキ