FURUTA Takayuki 古田孝之

… Alternative Names

古田孝之フルタタカユキ

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Researcher Number	40007612
Other IDs
Affiliation (based on the past Project Information) *help	2010: 弘前大学, 名誉教授 2008 – 2009: Tokyo University of Science, 理学部, 教授 2002 – 2004: 弘前大学, 名誉教授 1996 – 2000: Science University of Tokyo, Faculty of Science, Professor, 理学部, 教授 1994 – 1995: 東京理科大学, 理学部・1部, 教授 1986 – 1989: 弘前大学, 理学部, 教授
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis Except Principal Investigator 代数学・幾何学 / Basic analysis / Basic analysis / 解析学
Keywords	Principal Investigator relative operator entropy / log majorization / order preserving inequality / chaotic order / Furuta inequality / Lowner-Heinz inequality / positive definite operator / generalized Furuta inequality / Relative operator entropy / Kantorovich inequality … More / p-hyponormal / log-hyponormal / relative entropy / Lowner-Heinz不等式 / log-majorization / Lowner-Heinz inequaity / Lwner-Heinz inequality / monotone clecreasing / positive operator / trace norm inequality / Lowner-Heing thecxem / The Furuta Jnequality / monotone decreasing / trace inequality / positive operaton / relative operatov entropy / Lowner-Heinz therkm / The Furuta inguality / log majorigation / 作用素不等式 / 順序の保存 / ノルム / 正値作用素 / 作用素の順序 / ヒルベルト空間 … More Except Principal Investigator polar decomposition / Aluthge transform / hyponormal operator / Shannon inequality / operator inequality / principal function / trace formula / Hilbert space / trace / n-tuple / hyponormal / joint spectrum / operator / ブリースコーン多様体 / リーマン空間 / 部分多様体 / 群作用 / 多様体 / 表現 / 巾零指数 / 根基 / 群多元環 / 多元環 / 群 / 一般化古田不等式 / Lowner-Heinzの不等式 / Thompson計量 / 作用素方程式 / 正値線形写像 / データ処理不等式 / 古田不等式 / L-wner-Heinzの不等式 / log-majorization / 作用素不等式 / Riesz-Bochoner Means / 多変数フ-リエ級数 / 格子点問題 Less

Development of operator inequalities and their applications by using computersPrincipal Investigator
- Principal Investigator
  
  YANAGIDA Masahiro, 古田孝之
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo University of Science
Research of operator inequality and spectrum using computer
- Principal Investigator
  
  CHO Muneo
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanagawa University
Establishment of operator inequalities by using computers and their applicationsPrincipal Investigator
- Principal Investigator
  
  FURUTA Takayuki
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Science University of Tokyo
Establishment of operator inequalities on Hilbert space and their applicationsPrincipal Investigator
- Principal Investigator
  
  FURUTA Takayuki
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Science University of Tokyo
Establishment and its application of operator inequalities by using computerPrincipal Investigator
- Principal Investigator
  
  FURUTA Takayuki
- Project Period (FY)
  1994 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Science University of Tokyo
格子点問題の解析的研究
- Principal Investigator
  
  倉坪茂彦
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Hirosaki University
無限次元空間上の線形作用素の研究Principal Investigator
- Principal Investigator
  
  古田孝之
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Hirosaki University
群作用を持つ多様体の構造
- Principal Investigator
  
  高橋敬夫
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hirosaki University
群多元環の根基
- Principal Investigator
  
  本瀬香
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hirosaki University

All 2011 2010 2009 2008 2004 Other

All Journal Article Presentation

[Journal Article] Around Choi inequalities for positive linear maps2011
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: vol.434 no.1 Pages: 14-17
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Around Choi inequalities for positive linear maps2011
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear Algebra and its Applications 434巻
  
  Pages: 14-17
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] An extension of order preserving operator inequality2010
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Mathematical Inequalities and Applications 13巻
  
  Pages: 49-56
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Positive semidefinite solutions of the operator equation [numerical formula]2010
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear Algebra and its Applications 432巻
  
  Pages: 949-955
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] An extension of order preserving operator inequality2010
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Mathematical Inequalities & Applications
  
  Volume: vol.13 no.1 Pages: 49-56
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Positive semidefinite solutions of the operator equation Σ^n_<j=1>A^<n-j>XA^<j-1>=B2010
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: vol.432 no.4 Pages: 949-955
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Positive semidefinite solutions of the operator equation Σnj=1An-jXAj-1=B2010
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear Algebra and its Applications 432
  
  Pages: 949-955
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Operator function associated with an order preserving, operator inequality2009
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Journal of Mathematical Inequalities 3巻
  
  Pages: 21-29
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Log majorization via an order preserving operator inequality2009
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear Algebra and its Applications 431巻
  
  Pages: 132-138
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Log majorization via an order preserving operator inequality2009
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear Algebra and its Applications 431
  
  Pages: 132-138
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Operator function associated with an order preserving operator inequality2009
- Author(s)
  Takavuki Furuta
- Journal Title
  
  Journal of Mathematical Inequalities 3
  
  Pages: 21-29
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Further extension of an order preserving operator inequality2008
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Journal of Mathematical Inequalities 2巻
  
  Pages: 465-472
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Concrete examples of operator monotone functions obtained by an elementary method without appealing to Lowner integral representation2008
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear Algebra and its Applications 429巻
  
  Pages: 972-980
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Brief survey of recent applications of an order preserving operator inequality2008
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Taiwanese Journal of Mathematics 12
  
  Pages: 2113-2135
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Monotonicity of order preserving operator functions2008
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear Algebra and its Applications 428
  
  Pages: 1072-1082
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Brief survey of recent applications of an order preserving operator inequality2008
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Taiwanese Journal of Mathematics 12巻
  
  Pages: 2113-2135
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Applications of polar decompositions of idempotent and 2-nilpotent operators2008
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear and Multilinear Algebra 56
  
  Pages: 69-79
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Monotonicity of order preserving operator functions2008
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear Algebra and its Applications 428巻
  
  Pages: 1072-1082
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Further extension of an order preserving operator inequality2008
- Author(s)
  Takavuki Furuta
- Journal Title
  
  Journal of Mathematical Inequalities 2
  
  Pages: 465-472
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Applications of polar decompositions of idempotent and 2-nilpotent operators2008
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear and Multilinear Algebra 56巻
  
  Pages: 69-79
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] Convergence of logarithmic trace inequalities via generalized Lie-Trotter formulae2004
- Author(s)
  古田孝之
- Journal Title
  
  Linear Alg.Appl. 396
  
  Pages: 353-372
- Data Source
  KAKENHI-PROJECT-14540190
[Journal Article] Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators2004
- Author(s)
  古田孝之
- Journal Title
  
  Linear Alg.Appl. 381
  
  Pages: 219-235
- Data Source
  KAKENHI-PROJECT-14540190
[Journal Article] Log majorization via an order preserving operator inequality
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Linear Algebra and its Applications (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Journal Article] An extension of order preserving operator inequality
- Author(s)
  Takayuki Furuta
- Journal Title
  
  Mathematical Inequalities and Applications (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] Operator equations via an order preserving operator inequality2010
- Author(s)
  古田孝之
- Organizer
  The 16th Conference of the International Linear Algebra Society
- Place of Presentation
  Palazzo dei Congressi(イタリア)
- Year and Date
  2010-06-22
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] Operator equations via an order preserving operator inequality2010
- Author(s)
  Takayuki Furuta
- Organizer
  The 16th Conference of the International Linear Algebra Society
- Place of Presentation
  Palazzo dei Congressi(イタリア・ピサ)
- Year and Date
  2010-06-22
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] Operator equations Σnj=1An-jXAj-1=B via an operator inequality2010
- Author(s)
  古田孝之
- Organizer
  日本数学会2010年度年会
- Place of Presentation
  慶應義塾大学矢上キャンパス
- Year and Date
  2010-03-25
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] Asymmetric variation of Choi inequality for positive linear map2010
- Author(s)
  古田孝之
- Organizer
  作用素論における非可換構造の研究とその応用
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-10-28
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] Asymmetric variation of Choi inequality for positive linear map2010
- Author(s)
  古田孝之
- Organizer
  作用素論における非可換構造の研究とその応用
- Place of Presentation
  京都大学数理解析研究所(京都府)
- Year and Date
  2010-10-28
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] Operator equations [numerical formula] via an operator inequality2010
- Author(s)
  古田孝之
- Organizer
  日本数学会2010年度年会
- Place of Presentation
  慶應義塾大学矢上キャンパス
- Year and Date
  2010-03-25
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] Operator equations via an order preserving operator inequality2009
- Author(s)
  古田孝之
- Organizer
  作用素論における非可換解析学の展望
- Place of Presentation
  京都大学
- Year and Date
  2009-10-29
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] An order preserving operator inequality and its application2009
- Author(s)
  古田孝之
- Organizer
  The 11th KOTAC International Conference 2009 Operator Theory and Its Applications
- Place of Presentation
  Kyungpook National University(韓国)
- Year and Date
  2009-06-18
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] 順序を保存する作用素不等式の発展と応用2009
- Author(s)
  古田孝之
- Organizer
  関数解析学の研究とその応用
- Place of Presentation
  クロスパルにいがた
- Year and Date
  2009-08-28
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] An order preserving operator inequality and its application2009
- Author(s)
  古田孝之
- Organizer
  The 11th KOTAC International Conference 2009 Operator Theory and Its Applications
- Place of Presentation
  Kyungpook National University
- Year and Date
  2009-06-18
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] Further extension of order preserving operator inequality and its application2008
- Author(s)
  古田孝之
- Organizer
  19th International Workshop on Operator Theory and its Applications
- Place of Presentation
  College of William and Mary(アメリカ)
- Year and Date
  2008-07-22
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] An order preserving operator inequality and its generalization2008
- Author(s)
  古田孝之
- Organizer
  日本数学会2008年度秋季総合分科会
- Place of Presentation
  東京工業大学大岡山キャンパス
- Year and Date
  2008-09-24
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] Further extension of an order preserving operator inequality2008
- Author(s)
  古田孝之
- Organizer
  作用素論への幾何学の応用
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-10-30
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] Further extension of an order preserving operator inequality2008
- Author(s)
  古田孝之
- Organizer
  第17回関数空間セミナー
- Place of Presentation
  東京理科大学
- Year and Date
  2008-12-25
- Data Source
  KAKENHI-PROJECT-20540189
[Presentation] Further extension of order preserving operator inequality and its application2008
- Author(s)
  Takayuki Furuta
- Organizer
  19th International Workshop on Operator Theory and its Applications
- Place of Presentation
  College of William and Marv
- Year and Date
  2008-07-22
- Data Source
  KAKENHI-PROJECT-20540189

1. 倉坪茂彦 (50003512)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. 高橋敬夫 (70003324)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. 畠山洋二 (70003308)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. 本瀬香 (60020666)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. 高橋宏一 (90000182)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. YANAGIDA Masahiro (50318200)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. 佐藤秀一 (20162430)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 岡安隆 (00191958)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. CHO Muneo (10091620)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. HURUYA Tadasi (90018648)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. YAMAZAKI Takeaki (60333150)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

FURUTA Takayuki 古田 孝之

古田 孝之 フルタ タカユキ

Research Projects

Research Products

Co-Researchers

Development of operator inequalities and their applications by using computersPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research of operator inequality and spectrum using computer

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Establishment of operator inequalities by using computers and their applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Establishment of operator inequalities on Hilbert space and their applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Establishment and its application of operator inequalities by using computerPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

格子点問題の解析的研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

無限次元空間上の線形作用素の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

群作用を持つ多様体の構造

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

群多元環の根基

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Around Choi inequalities for positive linear maps2011

Author(s)

Journal Title

Data Source

[Journal Article] Around Choi inequalities for positive linear maps2011

Author(s)

Journal Title

Data Source

[Journal Article] An extension of order preserving operator inequality2010

Author(s)

Journal Title

Data Source

[Journal Article] Positive semidefinite solutions of the operator equation [numerical formula]2010

Author(s)

Journal Title

Data Source

[Journal Article] An extension of order preserving operator inequality2010

Author(s)

Journal Title

Data Source

[Journal Article] Positive semidefinite solutions of the operator equation Σ^n_<j=1>A^<n-j>XA^<j-1>=B2010

FURUTA Takayuki 古田孝之

古田孝之フルタタカユキ