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Itoh Takashi  伊藤 隆

ORCIDConnect your ORCID iD *help
… Alternative Names

ITOH TAKASHI  伊藤 隆

伊藤 隆

ITOH Takashi  伊藤 隆

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Researcher Number 40193495
Other IDs
Affiliation (Current) 2025: 群馬大学, 共同教育学部, 教授
Affiliation (based on the past Project Information) *help 2016 – 2018: 群馬大学, 教育学部, 教授
2013: 群馬大学, 教育学部, 教授
2004 – 2010: 群馬大学, 教育学部, 教授
2001 – 2003: 群馬大学, 教育学部, 助教授
1999: Gunma University, Faculty of Education, assistant professor, 教育学部, 助教授 … More
1996: 群馬大学, 医療技術短期大学部, 助教授
1991 – 1995: 群馬大学, 教育学部, 助教授
1987: 琉球大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Basic analysis
Except Principal Investigator
Algebra / 解析学 / Global analysis / Global analysis / 代数学・幾何学
Keywords
Principal Investigator
作用素空間 / 作用素環 / 数域半径 / 数域半径作用素空間 / 作用素論 / 関数解析 / ヒルベルト空間 / 完全有界写像 / Onerator Norm / Operator Algebra … More / Numerical Radius / Operator Space / 作用素ノルム / 完全正値 / 完全有界 / テープリッツ作用素 / 行列作用素システム / 完全正値性 / 完全有界性 / ノルム空間 … More
Except Principal Investigator
作用素環 / 作用素空間 / 指標 / Haagerup tensor product / operator algebra / 完全有界写像 / 数域半径 / シュアー積 / 完全正写像 / 不足群 / ブロック / 表現 / 群環 / モジュラー表現 / 根基 / 有限群 / 単葉関数論 / 環 / numerical radius operator space / Schur multiplier / numerical radius / operator space / completely bounded map / completely positive map / 写像の分解 / 可換子表現 / モジュール写像 / シュア-積 / 数域作用素空間 / ハーゲラップテンソル積 / Operator space / irrational ratotion algebra / K-group / stable rank / real rank / c^*-algebra / C^*-環 / 作業素空間 / ハーゲラップ積 / 無理数回転環 / K-群 / 安定次元 / 実次元 / C-環 / 作業素環 / radical / group ring / defect / modular / block / representation / finite group / character / 超曲面(real) / CR-構造 / 複素多様体 / 単元生成 / 単調距離 / 量子状態空間 / ペッツ長谷川の関数 / 完全有界 / 完全正値 / 極大可換部分環 / Haagerup テンソル積 / Petz-Hasegawa の関数 / 作用素論 / 作用素の正値性 / Schur積 / Haagerupテンソル積 / Pick関数 / 作用素単調関数 / 基本サイクル / 極大イデアルサイクル / 正規2重点 / Yau系列 / 楕円系列 / 正規特異点 / 正規部分群 / 体 / 標数 / 巾零指数 / Nunokawa's lemma / argument theorems. / multivalent functions. / subordination. / Caratheodory functions. / gackのlemma / JackのLemma / convex function / Starlike function / 局所化 / ア-ベル圏 / 森田双対性 / 準フロベニウス環 / 中山予想 Less
  • Research Projects

    (14 results)
  • Research Products

    (29 results)
  • Co-Researchers

    (24 People)
  •  Decomposition of Maps on Operator Algebras with Numerical RadiusPrincipal Investigator

    • Principal Investigator
      ITOH TAKASHI
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Gunma University
  •  Operator space and Its application

    • Principal Investigator
      NAGISA Masaru
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Chiba University
  •  Embedding of ordered normed spaces into numerical radius operator spacesPrincipal Investigator

    • Principal Investigator
      ITOH Takashi
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Gunma University
  •  A Study of Embeddings of Normed Spaces into Numerical Radius Operator SpacesPrincipal Investigator

    • Principal Investigator
      ITOH Takashi
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Gunma University
  •  Related topics on Operator Theory and Operator Algebras

    • Principal Investigator
      NAGISA Masaru
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Chiba University
  •  The geometric structure of operator algebras

    • Principal Investigator
      MASARU Nagisa
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Chiba University
  •  Research on defect groups of blocks of a group ring

    • Principal Investigator
      FUKUSHIMA Hiroshi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gunma University
  •  二次元楕円型特異点の楕円系列について

    • Principal Investigator
      都丸 正
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gunma University
  •  群環の表現論

    • Principal Investigator
      福島 博
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gunma University
  •  群環の表現論

    • Principal Investigator
      福島 博
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gunma University
  •  JackのLemmaの応用について

    • Principal Investigator
      布川 護
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gunma University
  •  多葉関数論の新しい展開について

    • Principal Investigator
      布川 護
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Gunma University
  •  多元環の中山予想についての研究

    • Principal Investigator
      OTAKE Koichiro
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Gunma University
  •  C, R, 構造の局所埋めこみ理論(アブストラクト〓bの局所可解性)

    • Principal Investigator
      赤堀 隆夫
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      University of the Ryukyus

All 2014 2012 2010 2009 2007 2006 2004 Other

All Journal Article Presentation Book

  • [Book] π -πの計算 アルキメデスから現代まで-2007

    • Author(s)
      伊藤 隆, 竹之内 脩
    • Total Pages
      178
    • Publisher
      共立出版株式会社
    • Data Source
      KAKENHI-PROJECT-18540159
  • [Book] π-πの計算 アルキメデスから現代まで2007

    • Author(s)
      竹之内脩 伊藤隆
    • Publisher
      共立出版株式会社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540159
  • [Journal Article] On the extended Haagerup tensor product in Operator spaces2014

    • Author(s)
      伊藤隆, 渚勝
    • Journal Title

      J. of Korean Math. Soc.

      Volume: 51 Pages: 345-362

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540220
  • [Journal Article] Characterization of diagonality for operators2012

    • Author(s)
      伊藤隆, 渚勝
    • Journal Title

      Scientiae Math. Japon

      Volume: 75 Pages: 263-273

    • NAID

      130007663399

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540220
  • [Journal Article] Characterization of diagonality for operators2012

    • Author(s)
      伊藤 隆、渚 勝
    • Journal Title

      Scientiae Mathematicae Japonicae

      Volume: 75

    • NAID

      130007663399

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540220
  • [Journal Article] Characterization of maximal primitive ideals of Toeplitz algebras2010

    • Author(s)
      Rizky Rosjanuardi, Takashi Itoh
    • Journal Title

      Scientiae Mathematicae Japonicae 72

      Pages: 393-397

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540156
  • [Journal Article] Characterization of maximal primitive ideals of Toeplitz algebras2010

    • Author(s)
      伊藤隆, Rizky Rosjanuardi
    • Journal Title

      Scientiae Mathematicae Japonicae

      Volume: Vol.72 Pages: 393-397

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540156
  • [Journal Article] 長方形の面積の公式における「縦×横」の変遷と多様性について2009

    • Author(s)
      伊藤隆
    • Journal Title

      群馬大学教育学部紀要 57

      Pages: 5-14

    • NAID

      120001269792

    • Data Source
      KAKENHI-PROJECT-20540156
  • [Journal Article] π -Calculations of π from Archimedes until now2007

    • Author(s)
      O. TAKENOUCHI and T. ITOH
    • Journal Title

      Kyoritsu Syuppan

      Pages: 178-178

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540159
  • [Journal Article] Numerical radius norms on operator spaces2006

    • Author(s)
      T. ITOH and M. NAGISA
    • Journal Title

      J. London Math. Soc Vol. 74

      Pages: 154-166

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540159
  • [Journal Article] Numerical radius Haagerup norm and square factorization through Hilbert spaces2006

    • Author(s)
      T.Itoh, M.Nagisa
    • Journal Title

      J.Math.Soc.Japan vol.58, no.2

      Pages: 363-377

    • NAID

      10018381245

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540198
  • [Journal Article] Numerical radius Haagerup norm and square Factorization through Hilbert spaces2006

    • Author(s)
      T. ITOH and M. NAGISA
    • Journal Title

      J. Math. Soc. Japan 52(2)

      Pages: 363-377

    • NAID

      10018381245

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540159
  • [Journal Article] Numerical Radius Norms on Operator Spaces2006

    • Author(s)
      T.Itoh, M.Nagisa
    • Journal Title

      J. London Math. Soc. 74(2)

      Pages: 154-166

    • Data Source
      KAKENHI-PROJECT-18540159
  • [Journal Article] Numerical radius Haagerup norm and square factorization through Hibert spaces2006

    • Author(s)
      T.Itoh, M.Nagisa
    • Journal Title

      J. Mathematical Society Japan 58・2

      Pages: 363-377

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540198
  • [Journal Article] Numerical radius Haagerup norm and square factorization through Hilbert spaces2006

    • Author(s)
      T. ITOH and M. NAGISA
    • Journal Title

      J. Math. Soc. Japan Vol. 52

      Pages: 363-377

    • NAID

      10018381245

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540159
  • [Journal Article] Numerical Radius-Norms on Operator Spaces2006

    • Author(s)
      T. ITOH and M. NAGISA
    • Journal Title

      J. London Math. Soc. 74(2)

      Pages: 154-166

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540159
  • [Journal Article] Numerical radius norm for bounded module maps and Schur multipliers2004

    • Author(s)
      T.Itoh, M.Nagisa
    • Journal Title

      Acta Sci. Math(Szered) 70・1-2

      Pages: 195-211

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540198
  • [Journal Article] Numerical radius norm for bounded module maps and Schur multipliers2004

    • Author(s)
      T.Itoh, M.Nagisa
    • Journal Title

      Acta Science Mathematics (Szeged) 70

      Pages: 195-211

    • Data Source
      KAKENHI-PROJECT-15540198
  • [Journal Article] Numerical radius norm for bounded module maps and Schur multipliers2004

    • Author(s)
      T.Itoh, M.Nagisa
    • Journal Title

      Acta Sci.Math.(Szeged) vol.70, no.1-2

      Pages: 195-211

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540198
  • [Journal Article] Numerical radius norms on operator spaces

    • Author(s)
      T.Itoh, M.Nagisa
    • Journal Title

      Journal of London Mathematical Society (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540198
  • [Journal Article] Numerical radius norms on Operator spaces

    • Author(s)
      T.Itoh, M.Nagisa
    • Journal Title

      Journal of London Mathematical Society To appear

    • Data Source
      KAKENHI-PROJECT-15540198
  • [Journal Article] Numerical radius Haagerup norm and square factorization.

    • Author(s)
      T.Itoh, M.Nagisa
    • Journal Title

      Journal of Mathematical Society of Japan To appear

    • Data Source
      KAKENHI-PROJECT-15540198
  • [Journal Article] Numerical radius norms on operator spaces

    • Author(s)
      T.Itoh, M.Nagisa
    • Journal Title

      J. London Mathematical Society (掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540198
  • [Presentation] Haagerupテンソル積と拡張されたHaagerupテンソル積2012

    • Author(s)
      伊藤隆, 渚勝
    • Organizer
      作用素論作用素環論研究集会
    • Place of Presentation
      大阪教育大学
    • Year and Date
      2012-11-23
    • Data Source
      KAKENHI-PROJECT-22540220
  • [Presentation] 作用素の対角性の特徴付け2012

    • Author(s)
      伊藤隆, 渚勝
    • Organizer
      日本数学会
    • Place of Presentation
      九州大学
    • Year and Date
      2012-09-24
    • Data Source
      KAKENHI-PROJECT-22540220
  • [Presentation] Characterization of maximal primitive ideals of Toeplitz algebras2010

    • Author(s)
      Rizky Rosjanuardi, Takashi Itoh
    • Organizer
      日本数学会
    • Place of Presentation
      名古屋大学東山キャンパス
    • Year and Date
      2010-09-24
    • Data Source
      KAKENHI-PROJECT-20540156
  • [Presentation] Characterization of maximal primitive ideals of Toeplitz algebras2010

    • Author(s)
      伊藤隆, Rizky Rosjanuardi
    • Organizer
      日本数学会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-24
    • Data Source
      KAKENHI-PROJECT-20540156
  • [Presentation] Effros-Ruan予想について2007

    • Author(s)
      T. ITOH
    • Organizer
      東京作用素環セミナー
    • Place of Presentation
      SCS
    • Year and Date
      2007-07-20
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540159
  • [Presentation] On Effros-Ruan Conjecture2007

    • Author(s)
      T. ITOH
    • Organizer
      Tokyo Operator Algebra Seminar
    • Place of Presentation
      at SCS
    • Year and Date
      2007-07-20
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540159
  • 1.  OTAKE Koichiro (60134269)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 2.  NUNOKAWA Mamoru (00008137)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 3.  FUKUSHIMA Hiroshi (30125869)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  NAGISA Masaru (50189172)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 19 results
  • 5.  小関 煕純 (80170257)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  MATUI Hiroki (40345012)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  ISHIMURA Ryuichi (10127970)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  斎藤 斉 (10042607)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  西谷 泉 (80261824)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  都丸 正 (70132579)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  NINOMIYA Yasushi (40092887)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  KODAKA Kazunori (30221964)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  WADA Shuhei (00249757)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  武藤 英男 (70008720)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  瀬山 士郎 (80008177)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  赤堀 隆夫 (40117560)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  志賀 博雄 (40128484)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  西白保 敏彦 (70044956)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  石川 弘 (70044980)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  前原 龍二 (40044987)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  杉山 健一 (90206441)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  吉田 英信 (60009280)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  久我 健一 (30186374)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  宮本 育子 (00009606)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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