Tanaka Ryotaro 田中亮太朗

Researcher Number	90826463
Other IDs	https://orcid.org/0000-0003-2482-9203
Affiliation (Current)	2026: 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 Except Principal Investigator Basic Section 12010:Basic analysis-related
Keywords	Principal Investigator 幾何構造 / 非線形分類 / 非線形同型 / バナッハ空間 / C*環 / 非線形解析学 / 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 … More / Birkhoff直交性 / バナッハ加群 / 幾何学的構造空間 / Birkhoff-James直交性 / バナッハ空間の幾何学 … More Except Principal Investigator 荷重 / sparse分解 / べき零リー群 / Keller-Segel方程式 / ヘルツ空間 / 極大正則性 / 複素補間 / 分数べき積分作用素 / モレー空間 / 楕円型微分作用素 Less

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
２進解析を応用した指数増大する関数に対する調和解析
- Principal Investigator
  
  澤野嘉宏
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Chuo University
A study on various isomorphisms of Banach spaces with applicationsPrincipal Investigator
- Principal Investigator
  
  Tanaka Ryotaro
- 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 2025 2024 2023 2022 2021 2020 2019

All Journal Article Presentation

[Journal Article] On order isomorphisms of norm attainment sets of continuous functions2025
- Author(s)
  Igarashi K., Nakamura J. Roy S., Tanaka R.
- Journal Title
  
  Acta Mathematica Hungarica
  
  Volume: - Issue: 2 Pages: 486-506
- DOI
  10.1007/s10474-025-01520-8
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24K06788
[Journal Article] Geometric nonlinear classification of $L_p(\mu)$-spaces2025
- Author(s)
  Tanaka Ryotaro
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 550 Issue: 2 Pages: 129559-129559
- DOI
  10.1016/j.jmaa.2025.129559
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24K06788
[Journal Article] Elementary proof of Funahashi's theorem2024
- Author(s)
  Izuki Mitsuo、Noi Takahiro、Sawano Yoshihiro、Tanaka Hirokazu
- Journal Title
  
  Constructive Mathematical Analysis
  
  Volume: 7 Issue: 2 Pages: 30-44
- DOI
  10.33205/cma.1466429
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PLANNED-22H05082, KAKENHI-PROJECT-23K03156
[Journal Article] Di-orthographs of Banach spaces that are not invariant of nonlinear Birkhoff-James orthogonality preservers2024
- Author(s)
  Roy Saikat, Tanaka Ryotaro
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 533 Issue: 1 Pages: 127990-127990
- DOI
  10.1016/j.jmaa.2023.127990
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14561
[Journal Article] Level numbers of a bounded linear operator between normed linear spaces-II2024
- Author(s)
  Roy Saikat, Sain Debmalya, Tanaka Ryotaro
- Journal Title
  
  Linear and Multilinear Algebra
  
  Volume: 72 Issue: 17 Pages: 3029-3051
- DOI
  10.1080/03081087.2024.2304151
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14561
[Journal Article] Geometric nonlinear classification of Hilbert $C^*$-modules based on strong Birkhoff-James orthogonality2024
- Author(s)
  Arambasic Ljiljana, Guterman Alexander, Kuzma Bojan, Rajic Rajna, Tanaka Ryotaro, Zhilina Svetlana
- Journal Title
  
  Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
  
  Volume: 118 Issue: 4 Pages: 151-151
- DOI
  10.1007/s13398-024-01633-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14561
[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] On geometric structure spaces of $C^*$-algebras2024
- Author(s)
  田中亮太朗
- Organizer
  2024年作用素論・作用素環論研究集会
- Data Source
  KAKENHI-PROJECT-24K06788
[Presentation] 連続関数のnorm attainment setの順序を保存する写像について2024
- Author(s)
  五十嵐航輝、田中亮太朗、中村淳平、ロイサイカット
- Organizer
  実解析学シンポジウム2024
- Data Source
  KAKENHI-PROJECT-24K06788
[Presentation] The dyadic analysis with cubes and rectangles2024
- Author(s)
  田中仁
- Organizer
  調和解析セミナー
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03156
[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

1. 澤野嘉宏 (40532635)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 中村昌平 (30896121)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 田中仁 (70422392)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
4. 飯田毅士 (60633435)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 野井貴弘 (90736555)

# of Collaborated Projects: 1 results

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6. 松山登喜夫 (70249712)

# of Collaborated Projects: 1 results

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7. 野ヶ山徹 (30997987)

# of Collaborated Projects: 1 results

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8. 田中宏和

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# of Collaborated Products: 1 results

Tanaka Ryotaro 田中 亮太朗

Research Projects

Research Products

Co-Researchers

Geometric nonlinear classification of Banach spaces with applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

２進解析を応用した指数増大する関数に対する調和解析

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A study on various isomorphisms of Banach spaces with applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] On order isomorphisms of norm attainment sets of continuous functions2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Geometric nonlinear classification of $L_p(\mu)$-spaces2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Elementary proof of Funahashi's theorem2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Di-orthographs of Banach spaces that are not invariant of nonlinear Birkhoff-James orthogonality preservers2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Level numbers of a bounded linear operator between normed linear spaces-II2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Geometric nonlinear classification of Hilbert $C^*$-modules based on strong Birkhoff-James orthogonality2024

Author(s)

Journal Title

DOI

Data Source

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

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On properness of uniform algebras2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On real nonisomorphic Banach spaces with homeomorphic geometric structure spaces2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Nonlinear classification of Banach spaces based on geometric structure spaces2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On Birkhoff-James orthogonality preservers between real non-isometric Banach spaces2022

Author(s)

Journal Title

Tanaka Ryotaro 田中亮太朗

[Journal Article] $C^$-algebras with weak$^$ angelic dual balls2020