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2010 Fiscal Year Self-evaluation Report

Study on free probability and operator algebras

Research Project

  • PDF
Project/Area Number 20540213
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionKyushu University

Principal Investigator

UEDA Yoshimichi  Kyushu University, 大学院・数理学研究院, 准教授 (00314724)

Project Period (FY) 2008 – 2011
Keywords作用素環論 / 自由確率論 / 非可換調和解析
Research Abstract

自由確率論を背景とした作用素環の研究およびそれに動機づけられた作用素環の研究を行うのが本研究課題の目的である.具体的には(1)作用素環自体の解析,(2)自由確率論に関する問題の解決,および(3)直接は関係しないが直接または間接的に自由確率論に動機づけられた研究,の遂行が研究計画の根幹をなす

  • Research Products

    (9 results)

All 2011 2010 2009 2008

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (3 results)

  • [Journal Article] On the predual of non-commutative H^\infty2011

    • Author(s)
      Y. Ueda
    • Journal Title

      to appear in Bull. London Math. Soc.

    • Peer Reviewed
  • [Journal Article] On peak phenomena for non-commutative H^\infty2009

    • Author(s)
      Y.Ueda
    • Journal Title

      Math. Ann. Vol.343

      Pages: 421-429

    • Peer Reviewed
  • [Journal Article] Orbital approach to microstate free entropy2009

    • Author(s)
      F.Hiai, T.Miyamoto, Y.Ueda
    • Journal Title

      Internat. J. Math. Vol.20

      Pages: 239-249

    • Peer Reviewed
  • [Journal Article] A log-Sobolev type inequality for free entropy of two projections2009

    • Author(s)
      F.Hiai, Y.Ueda
    • Journal Title

      Annales IHP Probab. Stat. Vol.45

      Pages: 239-249

    • Peer Reviewed
  • [Journal Article] Remarks on HNN extensions in operator algebras2008

    • Author(s)
      Y.Ueda
    • Journal Title

      Illinois J. Math. Vol.52

      Pages: 705-725

    • Peer Reviewed
  • [Journal Article] Notes on microstate free entropy of projections2008

    • Author(s)
      F.Hiai, Y.Ueda
    • Journal Title

      Publ. RIMS Vol.44

      Pages: 49-90

    • Peer Reviewed
  • [Presentation] On the predual of non-commutative H^\infty2010

    • Author(s)
      Y.Ueda
    • Organizer
      Recent Developments in Operator Algebras, Univ. of Tokyo
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2010-06-26
  • [Presentation] Orbital free entropy dimension and its applications2009

    • Author(s)
      Y. Ueda
    • Organizer
      Joint meeting of KMS and AMS
    • Place of Presentation
      Ewha Womans University
    • Year and Date
      2009-12-17
  • [Presentation] On the predual of non-commutative H^\infty2009

    • Author(s)
      Y.Ueda
    • Organizer
      日本数学会2009年度年会,関数解析分科会特別講演
    • Place of Presentation
      東京大学駒場キャンパス
    • Year and Date
      2009-03-27

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Published: 2012-02-13   Modified: 2016-04-21  

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