Seto Michio 瀬戸道生

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SETO Michio 瀬戸道生

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Researcher Number	30398953
Other IDs
Affiliation (Current)	2025: 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), 総合教育学群, 教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 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), 総合教育学群, 教授 2017 – 2018: 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), 総合教育学群, 准教授 2016: 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, 総合教育学群, 准教授 2016: 島根大学, 総合理工学研究院, 准教授 2016: 防衛大学校, 総合教育学群, 准教授 … More 2015: 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, その他部局等, 准教授 2014: 島根大学, 総合理工学研究科, 准教授 2012 – 2013: 島根大学, 総合理工学研究科(研究院), 准教授 2012: 島根大学, 総合理工学研究科, 准教授 2009 – 2011: Shimane University, 総合理工学部, 講師 2007: Shimane University, Faculty of Science and Engineering, 講師 2007: Shimane University, Interdisciplinary Faculty of Science and Engineering, Lecturer 2007: 神奈川大学, 工学部, 助教 2005 – 2006: 神奈川大学, 工学部, 助手 Less
Review Section/Research Field	Principal Investigator Basic analysis / Basic Section 12010:Basic analysis-related Except Principal Investigator Basic analysis / Basic Section 12010:Basic analysis-related / Foundations of mathematics/Applied mathematics
Keywords	Principal Investigator 再生核ヒルベルト空間 / 多変数作用素論 / グラフ / 再生核 / グラフ理論 / ハーディ空間 / 関数解析 / ハーディ空間論 / 関数論 / 複素解析学 … More / 関数解析学 / 正定値性 / 複素解析 / 函数解析 / ユニタリ表現 / グラフ自己同型群 / 正定値カーネル / 機械学習 / グラフ準同型写像 / 擬直交分解 / ラプラシアン / ヒルベルト加群 / 国際情報交流 / ディリクレ空間 / 合成作用素 / 多変数作用論 / 作用素論 / 多変数関数論 / ハーデイ空間論 … More Except Principal Investigator グラフ / 荷重合成作用素 / Operator inequality / operator inequality / numerical range / trace formula / spectrum / linear operator / Hilbert space / 合成作用素 / 作用素単調関数 / Pick 関数 / 作用素不等式 / 固有値 / 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 / 代数的グラフ理論 / 代数的整数 / 多項式 / スペクトラルグラフ理論 / 代数的組合せ論 / 代数構造 / Loewner の定理 / 解析接続 / Jacobi operator / Orthogonal polynomials / Loewner-Heinz　inequality / Kadison's inequality / Positive linear map / Positive linear maps / Gamma function / Pick functions / Loewner's theorem / Operator convex / Operator monotone / Operator functions / 拡散 / サイズ / 発展方程式 / 個体数変動 / 最適制御 / 個体数変動モデル / 個体数モデル / 抽象偏微分方程式 / 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 / Shannon's inequality / moment problem / Riesz idempotent / principal funcition / hyponormal operator / trace / principal function / polar decomposition / Putnam inequality / cross commutator / wandering subspace / shift operator / Toeplitz operator / invariant subspace / several variables / Hardy space / イデアル / 不動点 / ハーディ空間 / 内部関数 / Hankel作用素 / スペクトル / hyponormal作用素 / 多変数 / クロス交換子 / wandering部分空間 / shift作用素 / Toeplitz作用素 / 不変部分空間 / 多関数 / ハーディー空間 / 国際情報交換 / ベリジン変換 / 可逆作用素 / ・閉値域 / ディリクレ空間 / 逆不等式 / 閉値域 / テープリッツ作用素 / ベルグマン空間 / 作用素凸関数 / Majorization / 積分核 / 核関数 / ガンマ関数 / 直交多項式 / 作用素関数 Less

正定値性を中心とした函数解析と複素解析の総合的研究Principal Investigator
- Principal Investigator
  
  瀬戸道生
- Project Period (FY)
  2024 – 2026
- 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 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 applicationPrincipal Investigator
- 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 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
Study of graph homomorphisms from functional analysisPrincipal Investigator
- Principal Investigator
  
  Seto Michio
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- 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)
From abstract evolution equations to abstract partial differential equations - for applications to population dynamics models
- Principal Investigator
  
  Kato Nobuyuki
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
  Shimane University
The study of operator monotone functions and its application to polynomials and operator perturbation
- Principal Investigator
  
  Uchiyama Mitsuru
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ritsumeikan University
  Shimane University
A elucidation of the structure of graphs by Algebraic Graph Theory and Spectral Graph Theory
- Principal Investigator
  
  Taniguchi Tetsuji
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Hiroshima Institute of Technology
  Matsue National College of Technology
Operator analysis and its application on the weighted Bergman spaces
- Principal Investigator
  
  YONEDA Rikio
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Otaru University of Commerce
Study on vector bundles induced by module structure of reproducing kernel Hilbert spaces consisting of multivariable analytic functionsPrincipal Investigator
- Principal Investigator
  
  SETO Michio
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
The study of eigenvalue distribution of operator function and polynomials
- Principal Investigator
  
  UCHIYAMA Mitsuru
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
A study on trace-rank inequality concerned with module structure of complex Hardy spacesPrincipal Investigator
- Principal Investigator
  
  SETO Michio
- Project Period (FY)
  2009 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
複素多変数バーディ空間の備える多項式環係数加群構造についての作用素論的研究Principal Investigator
- Principal Investigator
  
  瀬戸道生
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
  Kanagawa University
Research of a Hardy space on a polydisc
- Principal Investigator
  
  NAKAZI Takahiko
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Generalizations to Operator Theory of Shannon's inequality of Information Theory and its application
- Principal Investigator
  
  CHO Muneo
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanagawa University

[Book] 機械学習のための関数解析入門（カーネル法実践：学習から制御まで）2023
- Author(s)
  伊吹竜也、山内淳矢、畑中健志、瀬戸道生
- Total Pages
  176
- Publisher
  内田老鶴圃
- Data Source
  KAKENHI-PROJECT-20K03646
[Book] 機械学習のための関数解析入門2021
- Author(s)
  瀬戸　道生、伊吹　竜也、畑中　健志
- Total Pages
  168
- Publisher
  内田老鶴圃
- ISBN
  9784753601714
- Data Source
  KAKENHI-PROJECT-20K03646
[Journal Article] A Fock space approach to the theory of kernel functions2024
- Author(s)
  Seto Michio
- Journal Title
  
  Positivity
  
  Volume: 28 Issue: 1
- DOI
  10.1007/s11117-023-01028-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03646
[Journal Article] LINEAR OPERATORS WITH EMPTY SPECTRUM2023
- Author(s)
  Morisuke Hasumi, Michio Seto
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: 77 Issue: 1 Pages: 63-73
- DOI
  10.2206/kyushujm.77.63
- ISSN
  1340-6116, 1883-2032
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03646
[Journal Article] Exponentials of de Branges-Rovnyak kernels2022
- Author(s)
  Shuhei Kuwahara, Michio Seto
- Journal Title
  
  Canadian Mathematical Bulletin
  
  Volume: 65 Issue: 2 Pages: 447-455
- DOI
  10.4153/s0008439521000400
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03646
[Journal Article] Gram matrices of reproducing kernel Hilbert spaces over graphs IV (quadratic inequalities for graph Laplacians)2019
- Author(s)
  Michio Seto and Sho Suda
- Journal Title
  
  Algebra i Analiz
  
  Volume: 31 Pages: 143-155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04926
[Journal Article] Gram matrices of reproducing kernel Hilbert spaces over graphs III2017
- Author(s)
  Michio Seto and Sho Suda
- Journal Title
  
  Operators and Matrices
  
  Volume: 11 Issue: 3 Pages: 759-768
- DOI
  10.7153/oam-11-52
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04926
[Journal Article] Composition operators induced by injective homomorphisms on infinite weighted graphs2016
- Author(s)
  Michio Seto
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 435 Issue: 2 Pages: 1467-1477
- DOI
  10.1016/j.jmaa.2015.11.021
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04926
[Journal Article] 再生核と重み付き無限グラフ上の準同型写像について2016
- Author(s)
  瀬戸　道生
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1980 Pages: 81-94
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04926
[Journal Article] GRAM MATRICES OF REPRODUCING KERNEL HILBERT SPACES OVER GRAPHS II (GRAPH HOMOMORPHISMS AND DE BRANGES-ROVNYAK SPACES)2015
- Author(s)
  Michio Seto; Sho Suda; Tetsuji Taniguchi
- Journal Title
  
  Nihonkai Mathematical Journal
  
  Volume: 26 Pages: 15-29
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400217
[Journal Article] Gram matrices of reproducing kernel Hilbert spaces over graphs2014
- Author(s)
  Seto Michio, Suda Sho, Taniguchi Tetsuji
- Journal Title
  
  Linear Algebra Appl
  
  Volume: 445 Pages: 56-68
- NAID
  120005497076
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740106
[Journal Article] Gram matrices of reproducing kernel Hilbert spaces over graphs2014
- Author(s)
  Michio Seto, Sho Suda, Tetsuji Taniguchi
- Journal Title
  
  Linear algebra and its applications
  
  Volume: 445 Pages: 56-68
- DOI
  10.1016/j.laa.2013.12.001
- NAID
  120005497076
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400217
[Journal Article] Gram matrices of reproducing kernel Hilbert spaces over graphs2014
- Author(s)
  Michio Seto, Sho Suda and Tetsuji Taniguchi
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 445 Pages: 56-58
- NAID
  120005497076
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740106
[Journal Article] Inequality between unitary orbits2013
- Author(s)
  Uchiyama Mitsuru, Seto Michio
- Journal Title
  
  C. R. Math. Acad. Sci. Paris
  
  Volume: 351 Pages: 285-288
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400116
[Journal Article] A perturbation theory for core operators of Hilbert-Schmidt submodules in $H^2({\mathbb D}^2)$2011
- Author(s)
  Michio Seto
- Journal Title
  
  Integral Equations and Operator Theory
  
  Volume: 70 Pages: 379-394
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740106
[Journal Article] A perturbation theory for core operators of Hilbert-Schmidt submodules2011
- Author(s)
  Michio Seto
- Journal Title
  
  Integral Equations and Operator Theory
  
  Volume: (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740099
[Journal Article] A perturbation theory for core operators of Hilbert-Schmidt submodules in $H^2({￥mathbb D)^2)$2011
- Author(s)
  Seto Michio
- Journal Title
  
  Integral Equations Operator Theory
  
  Volume: 70, no.3 Pages: 379-394
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740106
[Journal Article] Common invariant subspaces of two doubly commuting operators on $l^2\otimes {\mathbb C}^2$2009
- Author(s)
  中路貴彦, 瀬戸道生
- Journal Title
  
  Nihonkai Mathematical Journal 20 no.2
  
  Pages: 127-137
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740099
[Journal Article] Infinite sequences of inner functions and submodules in $H^2({\mathbb D}^2)$}2009
- Author(s)
  瀬戸道生
- Journal Title
  
  Journal of Operator Theory 61 no.1
  
  Pages: 75-86
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740099
[Journal Article] Common invariant subspaces of two doubly commuting operators on $1^2\otimes{\mathbb C}^2$2009
- Author(s)
  Takahiko NAKAZI, Michio SETO
- Journal Title
  
  NIHONKAI MATHEMATICAL JOURNAL Vol.20, No.2
  
  Pages: 127-137
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740099
[Journal Article] Infinite sequences of inner functions and submodules in H2(D2), J2009
- Author(s)
  M. Seto
- Journal Title
  
  Operator Theory
  
  Volume: 61 Pages: 75-86
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540181
[Journal Article] Simple proof of Xia's proposition2008
- Author(s)
  長宗雄・古谷正・瀬戸道生
- Journal Title
  
  Inter.Math.Forum 42
  
  Pages: 2079-2082
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540176
[Journal Article] Simple proof of Xia's proposition2008
- Author(s)
  長宗雄・古谷正・瀬戸道生
- Journal Title
  
  Inter. Math. Forum 42
  
  Pages: 2079-2082
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540176
[Journal Article] Dougras, Shift operators on the C^2-valued hardy space2007
- Author(s)
  Nakazi, Seto
- Journal Title
  
  Acta Sci. Math. (Seged) 73
  
  Pages: 729-744
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540139
[Journal Article] Inner sequence based invariant subspaces in H^2(D^2)2007
- Author(s)
  Michio Seto and Rongwei Yang
- Journal Title
  
  Proceedlings of the American Mathematical Society Vol. 135No. 8
  
  Pages: 2519-2526
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740086
[Journal Article] Inner sequence based invariant subspaces in H^2(D^2)2007
- Author(s)
  瀬戸道生
- Journal Title
  
  Proceedings of the American Mathematical Society, Vol.135 8
  
  Pages: 2519-2526
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540139
[Journal Article] Shift operators on the C^2-valued hardy space2007
- Author(s)
  中路、瀬戸、Douglas
- Journal Title
  
  Acta Sci. Math.(Seged) 73
  
  Pages: 729-744
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540139
[Journal Article] Simple proof of Xia's proposition2007
- Author(s)
  M. Cho, T. Huruya, M. Seto
- Journal Title
  
  Inter. Math. Forum 42
  
  Pages: 2079-2082
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540176
[Journal Article] Inner sequence based invariant subspaces in H^2(D^2)2007
- Author(s)
  Michio Seto
- Journal Title
  
  Proceedings of the American Mathe-matical Society 135,8
  
  Pages: 2519-2526
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540139
[Journal Article] Shift operators on C^2-valued Hardy space2007
- Author(s)
  Ronald G. Douglas, Takahiko Nakazi and Michio Seto
- Journal Title
  
  Acta Scientiarum Mathematicarum (Szeged) Vol. 73
  
  Pages: 729-744
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740086
[Journal Article] Doubly commuting compressed shifts and generalized interpolation in the Hardy space over the bidisk2006
- Author(s)
  瀬戸道生, 中路貴彦
- Journal Title
  
  Integr. Equat. Oper. Th. 56
  
  Pages: 543-558
- Data Source
  KAKENHI-PROJECT-17540176
[Journal Article] Isometric composition operators between two weighted hardy spaces2006
- Author(s)
  中路貴彦、瀬戸道生
- Journal Title
  
  Nihonkai Math. J. 17
  
  Pages: 111-124
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540139
[Journal Article] Double Commuting Compressed Shifts and Generalized Interpolation in the Hardy Space over the Bidisk2006
- Author(s)
  Takahiko Nakazi, Michio Seto
- Journal Title
  
  Integral Equations an Operator Theory 56
  
  Pages: 543-558
- NAID
  120000969577
- Data Source
  KAKENHI-PROJECT-17740086
[Journal Article] Submodules of L^2(R^2)2005
- Author(s)
  瀬戸道生
- Journal Title
  
  Tokyo Journal of mathematics Vol.28, No.2
  
  Pages: 331-340
- NAID
  120006459342
- Data Source
  KAKENHI-PROJECT-17740086
[Journal Article] Submodule of L^2 (R^2)2005
- Author(s)
  M.Seto
- Journal Title
  
  Tokyo J.Math. 28
  
  Pages: 331-340
- NAID
  120006459342
- Data Source
  KAKENHI-PROJECT-17540139
[Journal Article] Inequality between unitary orbits
- Author(s)
  M. Uchiyama, M. Seto
- Journal Title
  
  C. R. Sci. Paris, Ser.1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540181
[Journal Article] A perturbation theory for core operators of Hilbert-Schmidt submodules
- Author(s)
  瀬戸道生
- Journal Title
  
  Integral Equations and Operator Theory 掲載確定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740099
[Presentation] 正則性 vs 正定値性2023
- Author(s)
  瀬戸道生
- Organizer
  日本数学会（函数論分科会）
- Invited
- Data Source
  KAKENHI-PROJECT-20K03646
[Presentation] フォック空間とガウス型核に対する普遍近似定理2022
- Author(s)
  瀬戸　道生
- Organizer
  再生核ヒルベルト空間を中心とした実解析・複素解析・函数解析の総合的研究
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03646
[Presentation] 狭義正定値核の構成法について2022
- Author(s)
  瀬戸　道生
- Organizer
  日本数学会2022年度年会
- Data Source
  KAKENHI-PROJECT-20K03646
[Presentation] 正定値核の構成法について2021
- Author(s)
  瀬戸　道生
- Organizer
  Real, Complex and Functional Analysis Seminar
- Data Source
  KAKENHI-PROJECT-20K03646
[Presentation] ガウス過程回帰入門2020
- Author(s)
  瀬戸　道生
- Organizer
  Real, Complex and Functional Analysis Seminar
- Data Source
  KAKENHI-PROJECT-20K03646
[Presentation] Applications of de Branges-Rovnyak decomposition to Graph Theory2018
- Author(s)
  Michio Seto
- Organizer
  Recent Advances in Operator Theory and Operator Algebras 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04926
[Presentation] Applications of de Branges-Rovnyak decomposition to Graph Theory2018
- Author(s)
  Michio Seto
- Organizer
  Recent Advances in Operator Theory and Operator Algebras 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] Applications of the theory of quasi-orthogonal integrals2018
- Author(s)
  瀬戸道生
- Organizer
  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-15K04926
[Presentation] ハーディ空間上の作用素論と不定値内積空間2018
- Author(s)
  瀬戸道生
- Organizer
  作用素論・作用素環論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] Application of the theory of quasi-orthogonal integrals to graph theory2018
- Author(s)
  瀬戸道生
- Organizer
  日本数学会2018年度年会（応用数学分科会）
- Data Source
  KAKENHI-PROJECT-15K04926
[Presentation] Quadratic inequalities for graph Laplacians2017
- Author(s)
  瀬戸道生
- Organizer
  離散数学とその応用研究集会2017
- Data Source
  KAKENHI-PROJECT-15K04926
[Presentation] Krein space representation of submodules in the Hardy space over the bidisk2016
- Author(s)
  Michio Seto
- Organizer
  Recent advances in Operator Theory and Operator Algebras 2016
- Place of Presentation
  Indian Statistical Institute
- Year and Date
  2016-12-19
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04926
[Presentation] 正則関数の組から導かれるクレイン空間上の等距離写像について2016
- Author(s)
  瀬戸道生
- Organizer
  等距離写像研究の多角的アプローチ
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-10-31
- Data Source
  KAKENHI-PROJECT-16K05190
[Presentation] 再生核と重み付き無限グラフ上の準同型写像について2015
- Author(s)
  瀬戸　道生
- Organizer
  再生核の応用についての総合的な研究
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-10-07
- Data Source
  KAKENHI-PROJECT-15K04926
[Presentation] Graph homomorphisms and de Branges-Rovnyak theory2014
- Author(s)
  Michio Seto
- Organizer
  Hakata Workshop 2014 Discrete Mathematics and its Applications
- Place of Presentation
  リファレンス駅東ビル(福岡市)
- Year and Date
  2014-02-08
- Data Source
  KAKENHI-PROJECT-23740106
[Presentation] Hardy 空間の加群構造に現れるKrein 空間について2013
- Author(s)
  瀬戸道生
- Organizer
  2013年度関数環研究集会
- Place of Presentation
  クロスパル新潟(新潟市)
- Year and Date
  2013-12-12
- Data Source
  KAKENHI-PROJECT-23740106
[Presentation] 再生核ヒルベルト空間のグラフ理論への応用について2013
- Author(s)
  瀬戸道生
- Organizer
  第22回関数空間セミナー
- Place of Presentation
  東京理科大学
- Year and Date
  2013-12-21
- Data Source
  KAKENHI-PROJECT-23740106
[Presentation] 再生核ヒルベルト空間とそのdefect 作用素について2012
- Author(s)
  瀬戸道生
- Organizer
  第51回実函数論・函数解析学合同シンポジウム
- Place of Presentation
  東京理科大学
- Year and Date
  2012-08-06
- Data Source
  KAKENHI-PROJECT-23740106
[Presentation] Dirichlet 空間と作用素論22012
- Author(s)
  瀬戸道生
- Organizer
  2012年度関数環研究集会
- Place of Presentation
  日本大学理工学部
- Year and Date
  2012-11-12
- Data Source
  KAKENHI-PROJECT-23740106
[Presentation] A perturbation theory for defect operators of Hilbert-Schmidt submodules2011
- Author(s)
  Michio Seto
- Organizer
  PARC Workshop 2011 Operator Theory and Its Applications
- Place of Presentation
  Seoul National University
- Year and Date
  2011-06-17
- Data Source
  KAKENHI-PROJECT-23740106
[Presentation] Operators induced by the reproducing kernel of the Dirichlet space2011
- Author(s)
  Michio Seto
- Organizer
  Research on preserver problems concerning to Banach algebras and its applications
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2011-10-31
- Data Source
  KAKENHI-PROJECT-23740106
[Presentation] A perturbation theory for defect operators on Hilbert function spaces2010
- Author(s)
  瀬戸道生
- Organizer
  第19回関数空間セミナー
- Place of Presentation
  北海道大学理学部
- Year and Date
  2010-12-23
- Data Source
  KAKENHI-PROJECT-21740099
[Presentation] 再生核ヒルベルト空間から定まるdefect作用素について2010
- Author(s)
  瀬戸道生
- Organizer
  作用素論・作用素環論研究集会
- Place of Presentation
  東京理科大学森戸記念館
- Year and Date
  2010-11-13
- Data Source
  KAKENHI-PROJECT-21740099
[Presentation] A perturbation theory for defect operators on Hilbert function spaces2010
- Author(s)
  瀬戸道生
- Organizer
  関数空間セミナー
- Place of Presentation
  北海道大学理学部
- Year and Date
  2010-12-23
- Data Source
  KAKENHI-PROJECT-21740099
[Presentation] 再生核から定まる作用素の摂動について2010
- Author(s)
  瀬戸道生
- Organizer
  作用素論における非可換構造の研究とその応用
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-10-28
- Data Source
  KAKENHI-PROJECT-21740099
[Presentation] 再生核ヒルベルト空間から定まるdefect作用素について2010
- Author(s)
  瀬戸道生
- Organizer
  作用素論・作用素環論研究集会
- Place of Presentation
  東京理科大学森戸記念館
- Year and Date
  2010-11-13
- Data Source
  KAKENHI-PROJECT-21740099
[Presentation] Hilbert functions and defect operators of submodules in the Hardy space over the bidisk2009
- Author(s)
  Michio Seto, Module ranks
- Organizer
  2009 Joint Meeting of the KMS and the AMS
- Place of Presentation
  Ewha Womans University (Seoul, Korea)
- Year and Date
  2009-12-17
- Data Source
  KAKENHI-PROJECT-21740099
[Presentation] Module ranks, Hilbert functions and defect operators of submodules in the Hardy space over the bidisk2009
- Author(s)
  Michio Seto
- Organizer
  2009 Joint Meeting of the KMS and the AMS
- Place of Presentation
  Ewha Womans University(Seoul, Korea)
- Year and Date
  2009-12-17
- Data Source
  KAKENHI-PROJECT-21740099
[Presentation] H^2(D^2)における無限個の互いに非同型な無限生成閉部分加群の構成について2007
- Author(s)
  瀬戸道生
- Organizer
  日本数学会 (函数解析学文科会)
- Place of Presentation
  東北大学
- Year and Date
  2007-09-22
- Data Source
  KAKENHI-PROJECT-17740086
[Presentation] Graph homomorphisms and de Branges-Rovnyak theory
- Author(s)
  Michio Seto
- Organizer
  Hakata Workshop 2014 Discrete Mathematics and its Applications
- Place of Presentation
  リファレンス駅東ビル（福岡市）
- Data Source
  KAKENHI-PROJECT-23740106
[Presentation] Hardy空間の加群構造に現れれるKrein空間について
- Author(s)
  瀬戸　道生
- Organizer
  2013年度関数環研究集会
- Place of Presentation
  クロスパル新潟（新潟市）
- Data Source
  KAKENHI-PROJECT-23740106
[Presentation] 再生核ヒルベルト空間とその defect 作用素について
- Author(s)
  瀬戸　道生
- Organizer
  第51回実函数論・函数解析学合同シンポジウム
- Place of Presentation
  東京理科大学（東京都）
- Invited
- Data Source
  KAKENHI-PROJECT-23740106
[Presentation] 再生核ヒルベルト空間のグラフ理論への応用について
- Author(s)
  瀬戸　道生
- Organizer
  第22回関数空間セミナー
- Place of Presentation
  東京理科大学神楽坂校舎
- Data Source
  KAKENHI-PROJECT-23740106

1. Hosokawa Takuya (90553579)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. Taniguchi Tetsuji (90543728)

# of Collaborated Projects: 3 results

# of Collaborated Products: 2 results
3. 阿部敏一 (40749157)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. UCHIYAMA Mitsuru (60112273)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
5. KOSAKI Hideki (20186612)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. WATATANI Yasuo (00175077)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. NAKAZI Takahiko (30002174)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
8. YONEDA Rikio (70342475)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. YAMAMOTO Takanori (60182630)

# of Collaborated Projects: 1 results

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10. YAMADA Masahiro (00263666)

# of Collaborated Projects: 1 results

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11. HAYASHI Mikihiro (40007828)

# of Collaborated Projects: 1 results

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12. TACHIZAWA Kazuya (80227090)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. IZUCHI Keiji (80120963)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. CHO Muneo (10091620)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
15. YAMAZAKI Takeaki (60333150)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. Kato Nobuyuki (40177423)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. SAITO Yasuhisa (30402241)

# of Collaborated Projects: 1 results

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18. SUGIE Jitsuro (40196720)

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19. KUROIWA Daishi (40284020)

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20. Sano Yoshio (20650261)

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21. Tanaka Hajime (50466546)

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22. 須田庄 (30710206)

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# of Collaborated Products: 2 results
23. 大野修一 (20265367)

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24. 岡裕和 (90257254)

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25. 宗政昭弘 (50219862)

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26. 石川勲 (80804236)

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27. HOSHI Kazuki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Seto Michio 瀬戸 道生

SETO Michio 瀬戸 道生

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正定値性を中心とした函数解析と複素解析の総合的研究Principal Investigator

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Functional analysis approach to time evolution of graphs and its applicationPrincipal Investigator

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Study of graph homomorphisms from functional analysisPrincipal Investigator

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Study on vector bundles induced by module structure of reproducing kernel Hilbert spaces consisting of multivariable analytic functionsPrincipal Investigator

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A study on trace-rank inequality concerned with module structure of complex Hardy spacesPrincipal Investigator

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複素多変数バーディ空間の備える多項式環係数加群構造についての作用素論的研究Principal Investigator

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Seto Michio 瀬戸道生

SETO Michio 瀬戸道生