ABE TOSHIKAZU 阿部敏一

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阿部敏一アベトシカヅ

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Researcher Number	40749157
Other IDs
Affiliation (Current)	2025: 茨城大学, 応用理工学野, 講師
Affiliation (based on the past Project Information) *help	2022 – 2023: 茨城大学, 理工学研究科(工学野), 講師 2020 – 2021: 茨城大学, 理工学研究科(工学野), 助教 2018: 茨城大学, 理工学研究科(工学野), 助教 2016 – 2017: 茨城大学, 工学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related Except Principal Investigator Basic Section 12010:Basic analysis-related / Basic analysis
Keywords	Principal Investigator 距離 / 対称移動 / 中点 / 作用素 / 行列 / 距離空間 / 半群 / ジャイロ群 / 平均 Except Principal Investigator グラフ … More / 荷重合成作用素 / コンパクト性 / 有界性 / 荷重Lipschitz空間 / Bergman空間 / Hardy空間 / 荷重付き関数空間 / 掛け算作用素 / 樹状グラフ / ユニタリ表現 / グラフ自己同型群 / 再生核ヒルベルト空間 / 正定値カーネル / 機械学習 / グラフ理論 / 関数解析 / 関数解析学 / リプシッツ空間 / ツリー / 樹形グラフ / 積分作用素 / 複素解析学 / 解析関数空間 / 荷重付き合成作用素 / 合成作用素 / 保存問題 / C*環 / ジャイロ群 / ジャイロ構造 / 一般ジャイロ空間 / リプシッツ環 / バナッハ環 / ジャイロ空間 / 等距離写像 Less

距離・平均と関連した代数構造Principal Investigator
- Principal Investigator
  
  阿部敏一
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Ibaraki University
Study on weighted composition operators between Hardy and Bergman spaces
- Principal Investigator
  
  Hosokawa Takuya
- Project Period (FY)
  2021 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Ibaraki University
Functional analysis approach to time evolution of graphs and its application
- Principal Investigator
  
  Seto Michio
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群)
Study on preserver problems on Banach algebras and gyro-structure
- Principal Investigator
  
  Hatori Osamu
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Niigata University
Study on topological structure and algebraic structure of multiplication and composition of analytic functions
- Principal Investigator
  
  Hosokawa Takuya
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University

All 2023 2022 2021 2019 2018 2017 2016

All Journal Article Presentation

[Journal Article] Integral-type operators between the weighted Lipschitz spaces on a tree2021
- Author(s)
  Toshikazu Abe, Takuya Hosokawa
- Journal Title
  
  Nihonkai Mathematical Journal
  
  Volume: 32 Pages: 31-40
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03285
[Journal Article] The equivalence of gyrocommutative gyrogroups and K-loops2017
- Author(s)
  Toshikazu Abe
- Journal Title
  
  Nihonkai Mathematical Journal
  
  Volume: 28 Pages: 69-78
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05190
[Journal Article] The equivalence of gyrocommutative gyrogroups and K-loops2017
- Author(s)
  Toshikazu Abe
- Journal Title
  
  Nihonkai Mathematical Journal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05172
[Journal Article] Finitely generated gyrovector subspaces and orthogonal gyrodecomposition in the M\"obius gyrovector space2017
- Author(s)
  Toshikazu Abe and Keiich Watanabe
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 449 Issue: 1 Pages: 77-90
- DOI
  10.1016/j.jmaa.2016.11.039
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05172, KAKENHI-PROJECT-16K05190
[Journal Article] A Mazur-Ulam theorem for normed gyrolinear spaces2017
- Author(s)
  Toshikazu Abe
- Journal Title
  
  Contemporary Mathematics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05172
[Journal Article] On a characterization of commutativity for C*-algebras via gyrogrouop operations2016
- Author(s)
  Toshikazu Abe and Osamu Hatori
- Journal Title
  
  Periodica Mathematica Hugarica
  
  Volume: 72 Issue: 2 Pages: 248-251
- DOI
  10.1007/s10998-016-0126-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400080, KAKENHI-PROJECT-16K05172
[Presentation] ジャイロ線形空間となる関数空間上の等距離写像2023
- Author(s)
  古清水大直,　阿部敏一
- Organizer
  2023年度　関数環研究集会
- Data Source
  KAKENHI-PROJECT-22K03332
[Presentation] ポアンカレ円板を値域とする関数の空間とその双対2023
- Author(s)
  阿部敏一
- Organizer
  2023年度　関数環研究集会
- Data Source
  KAKENHI-PROJECT-22K03332
[Presentation] 代数的中点と作用素平均2022
- Author(s)
  阿部敏一
- Organizer
  2022年度　関数環研究集会
- Data Source
  KAKENHI-PROJECT-22K03332
[Presentation] 代数的中点と平均2022
- Author(s)
  阿部敏一
- Organizer
  第61回実函数論・函数解析学合同シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-22K03332
[Presentation] Algebraic structures on R^+ for means2019
- Author(s)
  阿部敏一
- Organizer
  Research on isometries as preserver problems and related topics
- Invited
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] メビウスジャイロベクトル空間の構造について2019
- Author(s)
  阿部敏一
- Organizer
  2018年度つくばセミナー
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] メビウスジャイロベクトル空間の構造について2019
- Author(s)
  阿部　敏一
- Organizer
  2018年度つくばセミナー
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] 平均を代数的中点にもつ代数構造について2018
- Author(s)
  阿部　敏一
- Organizer
  第55回関東作用素論セミナー
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] Algebraic structures for means2018
- Author(s)
  阿部敏一
- Organizer
  2018年度関数環研究集会
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] Algebraic structures on R^+ for means2018
- Author(s)
  Toshikazu Abe
- Organizer
  Research on isometries as preserver problems and related topics
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] Mean に対する代数構造2018
- Author(s)
  阿部敏一
- Organizer
  第2回防大函数解析セミナー
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] 平均を代数的中点にもつ代数構造について2018
- Author(s)
  阿部敏一
- Organizer
  第55回関東作用素論セミナー
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] A geometric inequality and isometries on the positive cone2018
- Author(s)
  Toshikazu Abe and Osamu Hatori
- Organizer
  日本数学会2018年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] A geometric inequality and isometries on the positive cone2018
- Author(s)
  Toshikazu Abe and Osamu Hatori
- Organizer
  日本数学会2018年度秋期総合分科会
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] ジャイロベクトル空間と2-cocycleの関係について2018
- Author(s)
  阿部敏一
- Organizer
  第3回防大函数解析セミナー
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] 作用素論・作用素環論研究集会 2017 (立命館大学びわこ・くさつキャンパス草津市)2018
- Author(s)
  Toshikazu Abe
- Organizer
  RIMS共同研究（公開型）等距離写像理論と保存問題の多様な視点からの研究
- Invited
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] mean と代数的中点2018
- Author(s)
  阿部敏一
- Organizer
  第92回米沢数学セミナー
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] Algebraic structures for means2018
- Author(s)
  Toshikazu Abe
- Organizer
  2018年度関数環研究集会
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] Algebraic structures for means2018
- Author(s)
  阿部敏一
- Organizer
  RIMS共同研究（公開型）等距離写像理論と保存問題の多様な視点からの研究
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] 平均に関する代数構造について2018
- Author(s)
  阿部敏一
- Organizer
  第5回日立解析学セミナー
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] ジャイロ群に基づく線形空間の一般化2017
- Author(s)
  阿部　敏一
- Organizer
  第４回山陰基礎論・解析学研究集会
- Place of Presentation
  国際ファミリープラザ（鳥取県米子市）
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] ジャイロ群に基づく線形空間の一般化とその部分空間2017
- Author(s)
  阿部敏一
- Organizer
  第44回関東作用素論セミナー
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] 正定値行列全体のジャイロ構造について2017
- Author(s)
  阿部　敏一
- Organizer
  作用素論・作用素環論研究集会 2017 (立命館大学びわこ・くさつキャンパス草津市)
- Invited
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] ジャイロ群に基づく線形空間の一般化とその部分空間2017
- Author(s)
  阿部　敏一
- Organizer
  第44回関東作用素論セミナー（東京理科大学神楽坂キャンパス東京都）
- Invited
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] 半正定値行列の基本的な性質について2017
- Author(s)
  阿部敏一
- Organizer
  第4回日立解析学セミナー
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] 正定値行列全体のジャイロ構造について2017
- Author(s)
  阿部敏一
- Organizer
  作用素論・作用素環論研究集会 2017
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] Gyrolinear spaces2016
- Author(s)
  阿部　敏一
- Organizer
  Workshop in Nara University of Education 2016
- Place of Presentation
  奈良商工会議所（奈良県奈良市）
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] Gyrometric preservers on normed gyrolinear spaces2016
- Author(s)
  Toshikazu Abe
- Organizer
  20th Conference of the International Linear Algebra Sociaty
- Place of Presentation
  Leuven (Belgium)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] Subspaces of the positive denite cones2016
- Author(s)
  Toshikazu Abe
- Organizer
  Preserver Problems and Their Related Topucs
- Place of Presentation
  Nihon University（東京都千代田区）
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] Subspaces of the 2X2 positive invertible real matrices2016
- Author(s)
  Toshikazu Abe
- Organizer
  2016 年度関数環研究集会
- Place of Presentation
  茨城大学（茨城県日立市）
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] Commutativity for C*-algebras via gyrogroup operations2016
- Author(s)
  Toshikazu Abe and Osamu Hatori
- Organizer
  2016年度関数環研究集会
- Place of Presentation
  茨城大学工学部（茨城県日立市）
- Data Source
  KAKENHI-PROJECT-16K05172
[Presentation] 線形空間に類似した構造を持つジャイロ群について2016
- Author(s)
  阿部　敏一
- Organizer
  2016 年度ジェネラルトポロジーシンポジウム
- Place of Presentation
  筑波大学（茨城県つくば市）
- Data Source
  KAKENHI-PROJECT-16K05172

1. Hosokawa Takuya (90553579)

# of Collaborated Projects: 3 results

# of Collaborated Products: 1 results
2. Seto Michio (30398953)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. Hatori Osamu (70156363)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
4. 三浦毅 (90333989)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 大野修一 (20265367)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 岡裕和 (90257254)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 谷口哲至 (90543728)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. Lajos Molnar

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

ABE TOSHIKAZU 阿部 敏一

阿部 敏一 アベ トシカヅ

Research Projects

Research Products

Co-Researchers

距離・平均と関連した代数構造Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on weighted composition operators between Hardy and Bergman spaces

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Functional analysis approach to time evolution of graphs and its application

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on preserver problems on Banach algebras and gyro-structure

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on topological structure and algebraic structure of multiplication and composition of analytic functions

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Integral-type operators between the weighted Lipschitz spaces on a tree2021

Author(s)

Journal Title

Data Source

[Journal Article] The equivalence of gyrocommutative gyrogroups and K-loops2017

Author(s)

Journal Title

Data Source

[Journal Article] The equivalence of gyrocommutative gyrogroups and K-loops2017

Author(s)

Journal Title

Data Source

[Journal Article] Finitely generated gyrovector subspaces and orthogonal gyrodecomposition in the M\"obius gyrovector space2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A Mazur-Ulam theorem for normed gyrolinear spaces2017

Author(s)

Journal Title

Data Source

[Journal Article] On a characterization of commutativity for C*-algebras via gyrogrouop operations2016

Author(s)

Journal Title

DOI

Data Source

[Presentation] ジャイロ線形空間となる関数空間上の等距離写像2023

Author(s)

Organizer

Data Source

[Presentation] ポアンカレ円板を値域とする関数の空間とその双対2023

Author(s)

Organizer

Data Source

[Presentation] 代数的中点と作用素平均2022

Author(s)

Organizer

Data Source

[Presentation] 代数的中点と平均2022

Author(s)

Organizer

Data Source

[Presentation] Algebraic structures on R^+ for means2019

Author(s)

Organizer

ABE TOSHIKAZU 阿部敏一

阿部敏一アベトシカヅ

[Presentation] 作用素論・作用素環論研究集会 2017 (立命館大学びわこ・くさつキャンパス草津市)2018