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Tanaka Ryotaro  田中 亮太朗

Researcher Number 90826463
Other IDs
  • ORCIDhttps://orcid.org/0000-0003-2482-9203
Affiliation (Current) 2025: 東京理科大学, 教養教育研究院葛飾キャンパス教養部, 准教授
Affiliation (based on the past Project Information) *help 2022 – 2024: 東京理科大学, 教養教育研究院葛飾キャンパス教養部, 准教授
2021: 東京理科大学, 教養教育研究院葛飾キャンパス教養部, 講師
2020: 東京理科大学, 基礎工学部教養, 講師
2019: 東京理科大学, 基礎工学部教養(長万部), 講師
Review Section/Research Field
Principal Investigator
Basic Section 12010:Basic analysis-related
Keywords
Principal Investigator
非線形分類 / バナッハ空間 / C*環 / 非線形解析学 / バナッハ空間の幾何学 / バナッハ空間論 / リプシッツ収縮写像 / 強Birkhoff-James直交性 / 強Birkhoff直交性 / Birkhoff直交性 … More / バナッハ加群 / 非線形同型 / 幾何学的構造空間 / Birkhoff-James直交性 Less
  • Research Projects

    (2 results)
  • Research Products

    (21 results)
  •  Geometric nonlinear classification of Banach spaces with applicationsPrincipal Investigator

    • Principal Investigator
      田中 亮太朗
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Tokyo University of Science
  •  バナッハ空間における種々の同型の研究とその応用Principal Investigator

    • Principal Investigator
      田中 亮太朗
    • Project Period (FY)
      2019 – 2024
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Tokyo University of Science

All 2023 2022 2021 2020 2019

All Journal Article Presentation

  • [Journal Article] A Banach space theoretical characterization of abelian $C*$-algebras2023

    • Author(s)
      Tanaka Ryotaro
    • Journal Title

      Proceedings of the American Mathematical Society, Series B

      Volume: 10 Issue: 18 Pages: 208-218

    • DOI

      10.1090/bproc/175

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] On properness of uniform algebras2023

    • Author(s)
      Tanaka Ryotaro
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 527 Issue: 1 Pages: 127431-127431

    • DOI

      10.1016/j.jmaa.2023.127431

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] On real nonisomorphic Banach spaces with homeomorphic geometric structure spaces2023

    • Author(s)
      TANAKA RYOTARO
    • Journal Title

      Bulletin of the Australian Mathematical Society

      Volume: First View Issue: 3 Pages: 1-9

    • DOI

      10.1017/s0004972723000746

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] Nonlinear classification of Banach spaces based on geometric structure spaces2023

    • Author(s)
      Tanaka Ryotaro
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 521 Issue: 2 Pages: 126944-126944

    • DOI

      10.1016/j.jmaa.2022.126944

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality2022

    • Author(s)
      Ryotaro Tanaka
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 505 Issue: 1 Pages: 125444-125444

    • DOI

      10.1016/j.jmaa.2021.125444

    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] On Birkhoff-James orthogonality preservers between real non-isometric Banach spaces2022

    • Author(s)
      Tanaka Ryotaro
    • Journal Title

      Indagationes Mathematicae

      Volume: 33 Issue: 6 Pages: 1125-1136

    • DOI

      10.1016/j.indag.2022.06.004

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality, II2022

    • Author(s)
      Tanaka Ryotaro
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 514 Issue: 1 Pages: 126307-126307

    • DOI

      10.1016/j.jmaa.2022.126307

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] A nonlinear characterization of type I factors based on strong Birkhoff-James orthogonality2022

    • Author(s)
      Ryotaro Tanaka
    • Journal Title

      Annals of Functional Analysis

      Volume: 13 Issue: 2

    • DOI

      10.1007/s43034-022-00176-7

    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] Non-linear modular Birkhoff-James orthogonality preservers between spaces of continuous functions2021

    • Author(s)
      Tanaka Ryotaro
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 495 Issue: 2 Pages: 124744-124744

    • DOI

      10.1016/j.jmaa.2020.124744

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] $C^*$-algebras with weak$^*$ angelic dual balls2020

    • Author(s)
      Tanaka Ryotaro
    • Journal Title

      Proceedings of the American Mathematical Society, Series B

      Volume: 7 Issue: 11 Pages: 127-137

    • DOI

      10.1090/bproc/50

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] Modular Birkhoff-James orthogonality in $B(\mathbb{X},\mathbb{Y})$ and $K(\mathbb{X},\mathbb{Y})$2020

    • Author(s)
      Sain Debmalya, Tanaka Ryotaro
    • Journal Title

      Banach Journal of Mathematical Analysis

      Volume: 14 Issue: 4 Pages: 1347-1362

    • DOI

      10.1007/s43037-020-00064-z

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] On symmetry of strong Birkhoff orthogonality in $B(\mathcal{H},\mathcal{K})$ and $K(\mathcal{H},\mathcal{K})$2020

    • Author(s)
      Ryotaro Tanaka, Debmalya Sain
    • Journal Title

      Annals of Functional Analysis

      Volume: In press Issue: 3 Pages: 693-704

    • DOI

      10.1007/s43034-019-00048-7

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] A characterization of Radon planes using generalized Day-James spaces2020

    • Author(s)
      Naoto Komuro, Kichi-Suke Saito, Ryotaro Tanaka
    • Journal Title

      Annals of Functional Analysis

      Volume: 11 Issue: 1 Pages: 62-74

    • DOI

      10.1007/s43034-019-00018-z

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Journal Article] Constructing a Lipschitz retraction from $\mathcal {B}(\mathcal {H})$ onto $\mathcal {K}(\mathcal {H})$2019

    • Author(s)
      Ryotaro Tanaka
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 147 Issue: 9 Pages: 3919-3926

    • DOI

      10.1090/proc/14536

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Presentation] Nonlinear classification of Banach spaces based on Birkhoff-James orthogonality2022

    • Author(s)
      Ryotaro Tanaka
    • Organizer
      Asia-Pacific Analysis and PDE seminar
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Presentation] Birkhoff-James直交性に基づくバナッハ空間の非線形分類について2022

    • Author(s)
      田中 亮太朗
    • Organizer
      日本数学会2022年度年会
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Presentation] バナッハ空間の非線形分類: Birkhoff-James直交性の視点から2022

    • Author(s)
      田中 亮太朗
    • Organizer
      第61回実函数論・函数解析学合同シンポジウム
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Presentation] バナッハ空間の幾何学的非線形分類について2022

    • Author(s)
      田中 亮太朗
    • Organizer
      実解析学シンポジウム2022
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Presentation] ラドン空間の構造についての一考察2020

    • Author(s)
      斎藤吉助、小室直人、田中亮太朗
    • Organizer
      日本数学会2020年度年会
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Presentation] ラドン空間の新しい特徴付けについて2019

    • Author(s)
      斎藤吉助、田中亮太朗、小室直人
    • Organizer
      関数空間論とその周辺
    • Data Source
      KAKENHI-PROJECT-19K14561
  • [Presentation] フォン・ノイマン環の前双対におけるBirkhoff直交性の左対称点について2019

    • Author(s)
      田中亮太朗
    • Organizer
      実解析学シンポジウム2019
    • Data Source
      KAKENHI-PROJECT-19K14561

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