Geometric topology of continuous function algebras

• Project/Area Number: 22540062
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Geometry
• Research Institution: University of Tsukuba
• Principal Investigator: KAWAMURA Kazuhiro 筑波大学, 数理物質系, 教授 (40204771)
• Co-Investigator(Renkei-kenkyūsha): KATO Hisao 筑波大学, 数理物質系, 教授 (70152733) ; SAKAI Katsuro 筑波大学, 数理物質系, 准教授 (50036084) ; KANETO Takeshi 筑波大学, 数理物質系, 講師 (70107340)
• Project Period (FY): 2010 – 2012
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000); Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: 連続関数環 / 力学系 / 群作用 / コサイクル / 荷重合成作用素 / 固有値 / independence complex / Bo@artite Relation Theorem / バナッハ環 / スペクトル / 合成作用素

Research Abstract

Functional analytic study of dynamical system on compact metric was the central theme of the research based on the research grant. The focus is on theweighted composition operators on continuous function algebras. Associated with each dynamical system, an abelian group of unimodular weight for which the operators have eigenvalues was defined and it turned out the group carries both topological and measure theoretic aspects of the system. The result was generalized to group-action dynamics and an abelian group of 1-cocycle with similar property was defined and studied.

Research Products

• [Journal Article] A subgroup of 1-cocycles associated with a group action (2013)
  • Author(s): K. Kawamura
  • Journal Title: RIMS Kokyuroku Bessatu Volume: B39 Pages: 39-44
  • Peer Reviewed
• [Journal Article] A subgroup of 1-cocycles associated with a group action (2013)
  • Author(s): K. Kawamura
  • Journal Title: RIMS Kokyuroku bessatsu Volume: B39
  • Peer Reviewed
• [Journal Article] Subdivisions of simplicial complexes preserving the metric topology (2012)
  • Author(s): K.Mine and K.Sakai
  • Journal Title: Canadian Math.Bull Volume: 55 Pages: 152-163
  • Peer Reviewed
• [Journal Article] The box topology of infinite simplicial complexes (2012)
  • Author(s): K. Sakai and H. Yang
  • Journal Title: Tsukuba J. Math. Volume: 36 Pages: 295-309
  • Peer Reviewed
• [Journal Article] Isometries of the unitary group (2012)
  • Author(s): O.Hatori and L.Molnar
  • Journal Title: Proc.Amer.Math. Soc Volume: 142 Pages: 2127-2140
  • Peer Reviewed
• [Journal Article] Reflections and a generalizaTion of the Mazur-Ulam theorem (2012)
  • Author(s): O.Hatori, K.Kobayashi, T.Miura and S.Takahasi
  • Journal Title: Rocky Mountain J. Math. Volume: 42 Pages: 117-150
  • Peer Reviewed
• [Journal Article] New criteria for equivalence of locally compact abelian groups (2012)
  • Author(s): O.Hatori
  • Journal Title: Group Theory Volume: 15 Pages: 271-277
  • Peer Reviewed
• [Journal Article] Isometries between groups of invertible elements in C^*-algebras (2012)
  • Author(s): O.Hatori and K. Watanabe
  • Journal Title: J. Group Theory Volume: 15 Pages: 271-277
  • Peer Reviewed
• [Journal Article] Isometries and maps compatible with inverted Jordan triple product ongroups (2012)
  • Author(s): O.Hatori, G.Hirasawa, T.Miura and L.Molnar
  • Journal Title: Tokyo J. Math. Volume: 135 Pages: 385-410
  • Peer Reviewed
• [Journal Article] Isometries of the unitary group (2012)
  • Author(s): O. Hatori and L. Molnar
  • Journal Title: Proceedings of the American Mathematical Society Volume: 142 Pages: 2127-2140
  • Peer Reviewed
• [Journal Article] Reflections and a generalization of the Mazur-Ulam Theorem (2012)
  • Author(s): O. Hatori, K. Kobayashi, T. Miura and S. Takahashi
  • Journal Title: Rocky Mountain Journal of Mathematics Volume: 42 Pages: 117-150
  • Peer Reviewed
• [Journal Article] New criteria for equivalence of locally compact abelian groups (2012)
  • Author(s): O. Hatori
  • Journal Title: Journal of Group Theory Volume: 15 Pages: 271-277
  • Peer Reviewed
• [Journal Article] Isometries between invertible elements of C* algebras (2012)
  • Author(s): O. Hatori and K. Watanabe
  • Journal Title: Studia Mathematicae Volume: 201 Pages: 103-106
  • Peer Reviewed
• [Journal Article] Isometries and maps compatible with inverted Joran triple products (2012)
  • Author(s): O. Hatori, G. Hirasawa, T. Miura and L. Molnar
  • Journal Title: Tokyo Journal of Mathematics Volume: 135 Pages: 385-410
  • Peer Reviewed
• [Journal Article] The Hyers-Ulam and Ger type stabilities for the first order differential equations (2012)
  • Author(s): T. Miura and G. Hirasawa
  • Journal Title: Functional Equations in Mathematical Analysis Volume: 52 Pages: 191-199
  • Peer Reviewed
• [Journal Article] On the Butler-Rassias functional equation and its generalized Hyers-Ulam stability (2012)
  • Author(s): T. Miura, G. Hirasawa and T. Hayata
  • Journal Title: Fuctional Equations in Mathematical Analysis Volume: 52 Pages: 201-206
  • Peer Reviewed
• [Journal Article] A note on the stability of an integral equation (2012)
  • Author(s): T. Miura, G. Hirasawa, S. Takahashi and T. Hayata
  • Journal Title: Functional Equations in Mathematical Analysis Volume: 52 Pages: 207-222
  • Peer Reviewed
• [Journal Article] Stability of the Banach space valued Chebyshev differential equation (2012)
  • Author(s): T. Miura, S. Takahashi, T.Hayata and K. Tanahashi
  • Journal Title: Applied Mathematics Letters Volume: 25 Pages: 1976-1979
  • Peer Reviewed
• [Journal Article] Stability problems for generalized additive mappings and Euler-Lagrange type mappings (2012)
  • Author(s): M. Todoroki, K. Kumaraha, T. Miura and S. Takahashi
  • Journal Title: Australlian Journal of Mathtematical Analysis and its Applications Volume: 9 Pages: 1-9
  • Peer Reviewed
• [Journal Article] Subdivisions of simplicial complexes preserving the metric topology (2012)
  • Author(s): S. Mine and K. Sakai
  • Journal Title: Canadian Mathematical Bulletin Volume: 55 Pages: 157-163
  • Peer Reviewed
• [Journal Article] The box topology of infinite simplicial complexes (2012)
  • Author(s): K. Sakai and H. Yang
  • Journal Title: Tsukuba Journal of Mathematics Volume: 36 Pages: 295-309
  • Peer Reviewed
• [Journal Article] A subgroup of 1-cocycles associated with a group action (2012)
  • Author(s): Kazuhiro Kawamura
  • Journal Title: RIMS kokyurokku-Bessatsu Volume: (掲載受理済)
  • Peer Reviewed
• [Journal Article] Independence complexes and edge covering complexes via Alexander duality (2011)
  • Author(s): K. Kawamura
  • Journal Title: Electronic J. Comb Volume: 18 Pages: 39-39
  • Peer Reviewed
• [Journal Article] A variant of the bipartite Relation theorem and its application to clique graphs (2011)
  • Author(s): K.Kawamura
  • Journal Title: Contributions to Discrete Math. Volume: 6 Pages: 91-100
  • Peer Reviewed
• [Journal Article] Characterizations of topological dimension by use of normal sequence of finite open covers and Potrjagin-Schnirelman's theorem (2011)
  • Author(s): H. Kato and M. Matsumoto
  • Journal Title: J. Math. Soc. Japan Volume: 63 Pages: 977-983
  • Peer Reviewed
• [Journal Article] Dynamical systems which realize given random bi-sequence of points on their orbits (2011)
  • Author(s): H.Kato
  • Journal Title: Top.Appl. Volume: 158 Pages: 1163-1171
  • NAID: 120007130874
  • Peer Reviewed
• [Journal Article] On indecomposablility and comp^sants of chaotic continua II (2011)
  • Author(s): H. Kato
  • Journal Title: Top.Appl. Volume: 158 Pages: 647-652
  • Peer Reviewed
• [Journal Article] Correcting Taylor's cell-like map (2011)
  • Author(s): K.Sakai
  • Journal Title: Glasnik Mat Volume: 46 Pages: 483-487
  • Peer Reviewed
• [Journal Article] Small subdivisions of simplicial complexes with the metric topology (2011)
  • Author(s): K. Sakai
  • Journal Title: J.Math. Soc. Japan Volume: 63 Pages: 789-800
  • NAID: 10029321860
  • Peer Reviewed
• [Journal Article] Spectral radii condisions for isoMorphisms between unital semisimple Commutative Banach algebras (2011)
  • Author(s): G.Hirasawa, T.Miura and H. Takagi
  • Journal Title: Contemp.Math. Volume: 547 Pages: 125-134
  • Peer Reviewed
• [Journal Article] Algebraic properties of isoMetries between groups of invertible eleMents in Banach Algebra (2011)
  • Author(s): O.Hatori
  • Journal Title: J. Math. Anal.Appl. Volume: 376 Pages: 84-93
  • Peer Reviewed
• [Journal Article] Independence complexes and edge covering complexes via Alexander duality (2011)
  • Author(s): Kazuhiro Kawamura
  • Journal Title: Electronic Journal of Combinatorics Volume: 18
  • Peer Reviewed
• [Journal Article] A variant of the bipartite relation theorem and its applications to clique graphs (2011)
  • Author(s): Kazuhiro Kawamura
  • Journal Title: Contributions to Discrete Mathematics Volume: 6 Pages: 91-100
  • Peer Reviewed
• [Journal Article] Independence complexes and edge covering complexes via Alexander Duality (2011)
  • Author(s): Kazuhiro Kawamura
  • Journal Title: Electronic Journal of Combinatorcis Volume: 18
  • Peer Reviewed
• [Journal Article] On indecomposability and composants of chaotic continua II (2011)
  • Author(s): Hisao Kato
  • Journal Title: Topology and its Applications Volume: 158 Pages: 647-652
  • Peer Reviewed
• [Journal Article] Homeomorphism and diffeomorphism groups of noncompact manifolds With the Whitney topology (2011)
  • Author(s): T.Banakh-K.Mine-K.Sakai-T.Yagasaki
  • Journal Title: Topology Proceedings Volume: 37 Pages: 61-93
  • Peer Reviewed
• [Journal Article] Topological type of the group of uniform homeomorphisms of thereal line (2011)
  • Author(s): K.Mine-K.Sakai-T.Yagasaki-A.Yamashita
  • Journal Title: Topology and its Applications Volume: 158 Pages: 572-581
  • Peer Reviewed
• [Journal Article] Simplicial complexes and open subsets of non-separable LF spaces (2011)
  • Author(s): K.Mine-K.Sakai
  • Journal Title: Canadian Journal of Mathematics Volume: 63 Pages: 436-459
  • Peer Reviewed
• [Journal Article] Apporximation theorems of compactifications (2011)
  • Author(s): K.Mine
  • Journal Title: Colloquim Mathematicum Volume: 122 Pages: 93-101
  • Peer Reviewed
• [Journal Article] Backward shifts on function algebras (2011)
  • Author(s): H.Takagi-H.Koshimizu-H.Arizumi
  • Journal Title: Journal of Mathematical Analysis and Applications Volume: 377 Pages: 135-144
  • Peer Reviewed
• [Journal Article] Additively spectral-radius preserving surjections between unital semi-simple commutative Banach algebras (2011)
  • Author(s): O.Hatori-G.Hirasawa-T.Miura
  • Journal Title: Central European Journal of Mathematics Volume: 8 Pages: 597-601
  • Peer Reviewed
• [Journal Article] Independence complexes of chordal graphs (2010)
  • Author(s): K.Kawamura
  • Journal Title: Discrete Math Volume: 310 Pages: 2204-2211
  • Peer Reviewed
• [Journal Article] Homotopy type of independence complexes of forest (2010)
  • Author(s): K.Kawamura
  • Journal Title: Contributions to Discrete Math Volume: 5 Pages: 67-75
  • Peer Reviewed
• [Journal Article] On the asphericity of one-point union of cones (2010)
  • Author(s): K.Eda and K. Kawamura
  • Journal Title: Top.Proceedings Volume: 36 Pages: 63-75
  • Peer Reviewed
• [Journal Article] On the asphericity of one-point union of cones (2010)
  • Author(s): K.Eda・K.Kawamura
  • Journal Title: Topology Proceediings Volume: 36 Pages: 63-75
  • Peer Reviewed
• [Journal Article] Independence complexes of chordal graphs (2010)
  • Author(s): Kazuhiro Kawamura
  • Journal Title: Discrete Mathematics Volume: 310 Pages: 2204-2211
  • Peer Reviewed
• [Journal Article] Homotopy type of independence complex of forests (2010)
  • Author(s): Kazuhiro Kawamura
  • Journal Title: Contributions to Discrete Mathematics Volume: 5 Pages: 67-75
  • Peer Reviewed
• [Journal Article] Fractal metrics of Ruelle expanding maps and expanding ratios (2010)
  • Author(s): C.Fujita-H.Kato-M.Matsumoto
  • Journal Title: Topology and its Applications Volume: 157 Pages: 615-628
  • Peer Reviewed
• [Journal Article] Space of continuous maps from noncompact spaces into topological Group with the Whitney topology (2010)
  • Author(s): T.Banakh-T.Mine-K.Sakai-T.Yagasaki
  • Journal Title: Topology and its Applications Volume: 157 Pages: 1110-1117
  • Peer Reviewed
• [Journal Article] Generalizations of spectrally multiplicative surjections between uniform algebras (2010)
  • Author(s): O.Hatori-T.Miura-R.Shido-H.Takagi
  • Journal Title: Rendiconti del Circalo Matematico Palermo Volume: 59 Pages: 161-163
  • Peer Reviewed
• [Journal Article] A generalization of the Banach-Stone theorem for commutative Banacha algebras (2010)
  • Author(s): G.Hirasawa-T.Miura-R.Sindo
  • Journal Title: Nihonkai Mathematical Journal Volume: 21 Pages: 1-10
  • Peer Reviewed
• [Presentation] Mazur-Ulamの定理の非可換化とその応用 (2013)
  • Author(s): O. Hatori
  • Organizer: 解析学セミナー
  • Place of Presentation: 新潟大学
• [Presentation] Unitary群の構造と等距離写像 (2013)
  • Author(s): O. Hatori
  • Organizer: つくばセミナー
  • Place of Presentation: 筑波大学
• [Presentation] 関数空間上の全射等距離写像と端点の性質 (2013)
  • Author(s): T. Miura
  • Organizer: つくばセミナー
  • Place of Presentation: 筑波大学
• [Presentation] 直積空間と等長作用素 (2013)
  • Author(s): H. Takagi and N. Koshimizu
  • Organizer: つくばセミナー
  • Place of Presentation: 筑波大学
• [Presentation] 関数環上のある種のスペクトル保存写像の構造 (2012)
  • Author(s): T.Miura
  • Organizer: 関数環研究集会
  • Place of Presentation: 日本大学
  • Year and Date: 2012-11-03
• [Presentation] Zero-dimensional covers of dynamical systems (2012)
  • Author(s): H.Kato
  • Place of Presentation: 南京師範大学(中国)
  • Year and Date: 2012-09-26
• [Presentation] Isometries on unitary groups (2012)
  • Author(s): O.Hatori
  • Organizer: Conference on Math. and Stat
  • Place of Presentation: University of Memphis (アメリカ合衆国)
  • Year and Date: 2012-05-16
• [Presentation] Surjective isometries between function algebras (2012)
  • Author(s): T.Miura
  • Organizer: Conference on Math. And Stat
  • Place of Presentation: University of Memphis (アメリカ合衆国)
  • Year and Date: 2012-05-15
• [Presentation] Surjective isometries between funcition spaces (2012)
  • Author(s): T. Miura
  • Organizer: Department of Mathematical Science Colloquium Series
  • Place of Presentation: University of Motana(アメリカ合衆国)
  • Year and Date: 2012-05-11
• [Presentation] Isometries on groups and its applications (2012)
  • Author(s): O.Hatori
  • Organizer: Department of Mathematical Science Colloquium Series
  • Place of Presentation: University of Montana(アメリカ合衆国)
  • Year and Date: 2012-05-10
• [Presentation] Eventually colorings of maps of separable metric spaces (2012)
  • Author(s): H.Kato
  • Organizer: International Conference on topology and related fields
  • Place of Presentation: 南京師範大学(中国)
• [Presentation] Compactifications of a space and periodic points of maps (2012)
  • Author(s): H.Kato
  • Organizer: ジェネラルトポロジーシンポジウム
  • Place of Presentation: 神戸大学
• [Presentation] Eventual colorings of maps of separable metric spaces (2012)
  • Author(s): H. Kato
  • Organizer: International conference on topology and related fields
  • Place of Presentation: 南京師範大学（中国）
  • Invited
• [Presentation] Zero dimensional covers of dynamical systems (2012)
  • Author(s): H. Kato
  • Organizer: 南京師範大学特別セミナー
  • Place of Presentation: 南京師範大学（中国）
  • Invited
• [Presentation] Coarse structures and Higson coronas (2012)
  • Author(s): K. Mine and A. Yamashita
  • Organizer: ジェネラルトポロジーシンポジウム
  • Place of Presentation: 神戸大学
• [Presentation] Isometries on groups and its applications (2012)
  • Author(s): O. Hatori
  • Organizer: Mathematical Science Colloquim Series
  • Place of Presentation: University of Montana（米国）
• [Presentation] Isometries on unitary groups (2012)
  • Author(s): O. Hatori
  • Organizer: International conference on Mathematics and Statistics
  • Place of Presentation: University of Memphis（米国）
• [Presentation] 特殊直行群上の等距離写像 (2012)
  • Author(s): T. Abe and O. Hatori
  • Organizer: ２０１２年関数環研究集会
  • Place of Presentation: 日本大学
• [Presentation] Surjective isometries between function spaces (2012)
  • Author(s): T. Miura
  • Organizer: Mathematical Science Colloquium Series
  • Place of Presentation: University of Montana（米国）
• [Presentation] Surjective isometries between function algebras (2012)
  • Author(s): T. Miura
  • Organizer: International conference on Mathematics and Statistics
  • Place of Presentation: University of Memphis（米国）
• [Presentation] 関数環上のある種のスペクトル保存写像の構造 (2012)
  • Author(s): T. Miura
  • Organizer: ２０１２年関数環研究集会
  • Place of Presentation: 日本大学
• [Presentation] 関数環上の実線形等距離写像の構造 (2011)
  • Author(s): T.Miura
  • Organizer: 関数環研究集会
  • Place of Presentation: 山形大学
  • Year and Date: 2011-12-02
• [Presentation] Criteria for the equivalence of LCA groups (2011)
  • Author(s): O.Hatori
  • Organizer: Workshop on commutative algebra 2011
  • Place of Presentation: 奈良教育大学
  • Year and Date: 2011-11-04
• [Presentation] Real linear isometries between function algebras (2011)
  • Author(s): T.Miura
  • Organizer: Research on preserver problems concerning to Banach algebra and its applications
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2011-11-01
• [Presentation] Simplicial complexes and Infinite-dimensional manifolds (2011)
  • Author(s): K.Sakai
  • Organizer: トポロジーシンポジウム
  • Place of Presentation: 筑波大学
  • Year and Date: 2011-08-24
• [Presentation] Independence complexes of posets and cell-complexex (2011)
  • Author(s): Kazuhiro Kwamura
  • Organizer: 変換群の幾何と組合せ論
  • Place of Presentation: 京都大学数理解析研究所(京都市)(招待講演)
  • Year and Date: 2011-06-13
• [Presentation] Independence complexes of posets and cell complexes (2011)
  • Author(s): K.Kawamura
  • Organizer: 変換群の幾何と組合せ論
  • Place of Presentation: 京都大学数理解析研究所
• [Presentation] Colorings and eventual colorings (2011)
  • Author(s): H.Kato
  • Organizer: 一般および幾何学的トポロジーとその応用
  • Place of Presentation: 京都大学数理解析研究所
• [Presentation] Dynamical properties of homeomorophisms and zero-dimensional covers (2011)
  • Author(s): H.Kato
  • Organizer: ジェネラルトポロジーシンポジウム
• [Presentation] Algebraic structurs of isometries on groups (2010)
  • Author(s): O.Hatori
  • Organizer: The sixth conference on Function spaces
  • Place of Presentation: Southern Illinois University (アメリカ合衆国)
  • Year and Date: 2010-05-19
• [Presentation] Generalizations of spectrally Multiplicative surjections between uniform algebras (2010)
  • Author(s): T.Miura
  • Organizer: The sixth conference on Function spaces
  • Place of Presentation: Southern Illinois UniVersity (アメリカ合衆国)
  • Year and Date: 2010-05-18
• [Presentation] Characterizaation of Topological dimension by use of normal sequences of finite open covers and Pontrjagin-Scnirelman theorem (2010)
  • Author(s): H.Kato
  • Organizer: JAMEX
  • Place of Presentation: University Of Comima (メキシコ)
• [Presentation] 距離の構成による色々な次元 (2010)
  • Author(s): H. Kato
  • Organizer: 一般位相幾何学及び幾何学的トポロジーの最近の話題とその応用
  • Place of Presentation: 京都大学数理解析研究所
• [Presentation] Composition operators on Banach space of continuous functions (2010)
  • Author(s): K.Kawmaura
  • Organizer: Fields Institute Workshop on Recent advances in topological and measure Theoretic methods in Dynamical systems
  • Place of Presentation: Nipissing University(カナダ)
• [Presentation] (1) Independence complexes of chordal graphs (2) Composition operators on Banach spaces of continuous functions induced by topological dynamics (2010)
  • Author(s): Kazuhiro Kawamura
  • Organizer: Fields Institute Workshops on Recent Advances in Topological and Measure Theoretic Methods in Dynamical Systems
  • Place of Presentation: Nipissing大学・カナダ(招待講演)
• [Presentation] Composition operators on Banach spaces of continuous functions (2010)
  • Author(s): Kazuhiro Kawamura
  • Organizer: Automorophism groups of topological structures
  • Place of Presentation: Ben-Gurion University of Negev,イスラエル(招待講演)
• [Presentation] 位相推移的力学系に付随する荷重合成作用素 (2010)
  • Author(s): 川村一宏
  • Organizer: 関数環研究集会
  • Place of Presentation: 信州大学
• [Presentation] 位相推移的力学系に付随するアーベル群 (2010)
  • Author(s): 川村一宏
  • Organizer: ジェネラルトポロジーシンポジウム
  • Place of Presentation: 筑波大学
• [Presentation] Characterizations of topological dimension by use of normal sequencesof finite open covers and Pontrjagin-Shnirelmann's theorm (2010)
  • Author(s): Hisao Kato
  • Organizer: International conference Japan-Mexico on Topology and its Applications
  • Place of Presentation: University of Colima,メキシコ(招待講演)
• [Presentation] Approximation theorems for compactifications (2010)
  • Author(s): K.Mine
  • Organizer: Internatianal conference Japan-Mexico on Topology and its Applications
  • Place of Presentation: University of Colima,メキシコ
• [Presentation] 合成作用素と関数空間 (2010)
  • Author(s): 高木啓行
  • Organizer: 可換Banach環と種々の分野の交流II
  • Place of Presentation: 山形大学
• [Presentation] Algebraic structures of isometries on groups (2010)
  • Author(s): O.Hatori
  • Organizer: The sixth conference on Function Spaces
  • Place of Presentation: Southern Illinois University at Edwadsville,アメリカ合衆国
• [Presentation] 等距離写像の代数構造 (2010)
  • Author(s): 羽鳥理
  • Organizer: 関数環研究集会
  • Place of Presentation: 信州大学
• [Presentation] Generalizations of spectrally multiplicative surjections between uniform algebras (2010)
  • Author(s): T.Miura
  • Organizer: The sixth conference on Function Spaces
  • Place of Presentation: Southern Illinois University at Edwadsville,アメリカ合衆国
• [Presentation] Banach-Stoneの定理とその拡張 (2010)
  • Author(s): 三浦毅
  • Organizer: 可換Banach環と種々の分野の交流II
  • Place of Presentation: 山形大学