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2013 Fiscal Year Final Research Report

Opereator inequalities and their application to related fields

Research Project

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Project/Area Number 23540200
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Basic analysis
Research InstitutionOsaka Kyoiku University

Principal Investigator

FUJII Jun Ichi  大阪教育大学, 教育学部, 教授 (60135770)

Project Period (FY) 2011 – 2013
Keywords作用素不等式 / 情報理論 / 量子情報 / 基礎解析学
Research Abstract

10 papers for operator inequalities were published in this period. Among those, 2 papers are related to interpolation paths, and 2 to Jensen operator inequalities. Though results for geometrical considerations are not so many, almost all talks in the conferences are related to this.
In particular, my talk at the last March in Gakushuin University is on a discussion between interpolational means and the Karcher operator equations. My paper for this subject has already been accepted but not been published yet.

  • Research Products

    (18 results)

All 2014 2013 2012 2011

All Journal Article (10 results) Presentation (8 results)

  • [Journal Article] Ritsuo An operator inequality implying the usual and chaotic orders2014

    • Author(s)
      Fujii, Jun Ichi; Fujii, Masatoshi; Nakamoto
    • Journal Title

      Ann. Funct. Anal

      Volume: 5 Pages: 24-29

  • [Journal Article] Operator inequalities related to weak 2-positivity2013

    • Author(s)
      Moslehian, Mohammad Sal; Fujii, Jun Ichi
    • Journal Title

      J. Math. Inequal

      Volume: 7 Pages: 175-182

  • [Journal Article] Bounds for an operator concave function2013

    • Author(s)
      Dragomir, Sever S.; Fujii, Jun Ichi; Seo, Yuki
    • Journal Title

      Electron. J. Linear Algebra

      Volume: 26 Pages: 192-200

  • [Journal Article] Interpolationality for symmetric operator means2012

    • Author(s)
      Fujii, Jun Ichi
    • Journal Title

      Sci. Math. Jpn

      Volume: 75 Pages: 267-274

  • [Journal Article] Upper estimations on integral operator means2012

    • Author(s)
      Fujii, Jun Ichi; Fujii, Masatoshi
    • Journal Title

      Sci. Math. Jpn

      Volume: 75 Pages: 217-222

  • [Journal Article] On 3-variable extension for the integer mean2012

    • Author(s)
      Fujii, Jun Ichi; Fujii, Masatoshi; Matsumoto, Akemi
    • Journal Title

      Sci. Math. Jpn

      Volume: 75 Pages: 85-94

  • [Journal Article] The Jensen inequality in an external formula2012

    • Author(s)
      Fujii, Jun Ichi; Pecaric, Josip; Seo, Yuki
    • Journal Title

      J. Math. Inequal

      Volume: 6 Pages: 473-480

  • [Journal Article] Cauchy-Schwarz inequality in semi-inner product C∗-modules via polar decomposition2012

    • Author(s)
      Fujii, Jun Ichi; Fujii, Masatoshi.; Moslehian, M. S.; Seo, Y
    • Journal Title

      J. Math. Anal. Appl

      Volume: 394

  • [Journal Article] Reverse Cauchy-Schwarz type inequalities in pre-inner product C ∗-modules2011

    • Author(s)
      Fujii, Jun Ichi; Fujii, Masatoshi; Moslehian, Mohammad Sal; Pečarić, Josip E.; Seo, Yuki
    • Journal Title

      Hokkaido Math. J

      Volume: 40, no. 3 Pages: 393-409

  • [Journal Article] An external version of the Jensen operator inequality2011

    • Author(s)
      Fujii, Jun Ichi
    • Journal Title

      Sci. Math. Jpn

      Volume: 73 Pages: 125-128

  • [Presentation] 補間的作用素平均の Karcher equation における再生性2014

    • Organizer
      日本数学会 2014年度春季年会
    • Place of Presentation
      学習院大学
    • Year and Date
      2014-03-18
  • [Presentation] 正定値行列の幾何構造について2013

    • Organizer
      RIMS 研究集会
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2013-11-07
  • [Presentation] 2 次正定値行列全体の hyperkahler 構造2013

    • Organizer
      日本数学会 2013年度秋季総合分科会
    • Place of Presentation
      愛媛大学
    • Year and Date
      2013-09-27
  • [Presentation] 作用素平均の補間的 path とその積分平均の評価2012

    • 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
      2012-11-25
  • [Presentation] Integral means induced by interpolation paths of operator means2012

    • Organizer
      RIMS 研究集会
    • Year and Date
      2012-11-06
  • [Presentation] 作用素平均の補間的な path について2012

    • Organizer
      日本数学会 春季年会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-27
  • [Presentation] External type of Jensen operator inequality2011

    • Organizer
      RIMS 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
    • Year and Date
      2011-11-15
  • [Presentation] 作用素平均から派生した 3 整数平均2011

    • Organizer
      日本数学会 秋季分科会
    • Place of Presentation
      信州大学
    • Year and Date
      2011-09-28

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Published: 2015-07-16  

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