C代数和W代数
节选
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《C*代数和W*代数(英文版)》是Springer经典数学教材系列之一。该系列包含已出版的400多本教材，许多已经被奉为经典并该科目的标准参考书。该书对von Neumann代数理论给出了全面而详细的介绍。几乎包含该科目的所有基本结果。对于初学着和专家来说《C*代数和W*代数(英文版)》都是一本非常难得的参考书。读者对象：数学专业的研究生和相关专业的科研人员。
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内容简介
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简介
本书是springer经典数学教材系列之一。该系列包含已出版的400多本教材，许多已经被奉为经典并该科目的标准参考书。该书对von neumann代数理论给出了全面而详细的介绍。几乎包含该科目的所有基本结果。对于初学着和专家来说本书都是一本非常难得的参考书。 读者对象：数学专业的研究生和相关专业的科研人员。
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目录
1.General Theory1.1.Definitions of C*-Algebras and W*-Algebras1.2.Commutative C*-Algebras1.3.Stonean Spaces1.4.Positive Elements of a C*-Algebra1.5.Positive Linear Functionais on a C*-Algebra1.6.Extreme Points in the Unit Sphere of a C*-Algebra1.7.The Weak Topology on a W*-Algebra1.8.Various Topologies on a W*-Algebra1.9.Kaplansky’s Density Theorem1.10.Ideals in a W*-Algebra1.11.Spectral Resolution ofSelf-Adjoint Elements in a W*-Algebra1.12.The Polar Decomposition of Elements of a W*-Algebra1.13.Linear Functionals on a W*-Algebra1.14.Polar Decomposition of Linear Functionals on a W*-Algebra1.15.Concrete C*-Algebras and W*-Algebras1.16.The Representation Theorems for C*-Algebras and W*- Algebras1.17.The Second Dual of a O-Algebra1.18.Commutative W*-Algebras ..1.19.The C*-Algebra C of all Compact Linear Operators on a Hilbert Space1.20.The Commutation Theorem of yon Neumann1.21.*-Representations of C*-Algebras, 11.22.Tensor Products of C*-Algebras and W*-Algebras1.23.The Inductive Limit and Infinite Tensor Product of C*-Algebras1.24.Radon-Nikodym Theorems in W*-Algebras 2.Classification of W*-Algebras2.1.Equivalence of Projections and the Comparability Theorem.2.2.Classification of W*-Algebras 2.3.Type I W*-Algebras.2.4.Finite W*-Algebras2.5.Traces and Criterions of Types2.6.Types of Tensor Products of W*-Algebras2.7.*-Representations of C*-Algebras and W*-Algebras, 2.2.8.The Commutation Theorem of Tensor Products2.9.Spatial Isomorphisms of W*-Algebras3.Decomposition Theory3.1.Decompositions of States (Non-Separable Cases)3.2.Reduction Theory (Space-Free)3.3.Direct Integral of Hilbert Spaces3.4.Decomposition of States (Separable Cases)3.5.Central Decomposition of States (Separable Cases)4.Special Topics4.1.Derivations and Automorphisms of C*-Algebras and W*- Algebras4.2.Examples of Factors, 1 (General Construction)4.3.Examples of Factors, 2 (Uncountable Families of Types II1,II and III4.4.Examples of Factors, 3 (Other Results and Problems)4.5.Global W*-Algebras (Non-Factors)4.6.Type I C*-Algebras4.7.On a Stone-Weierstrass Theorem for C*-AlgebrasBibliographySubject IndexList of Symbols
封面
书名:C代数和W代数
作者:（日）章一郎堺
页数:256
定价:¥35.0
出版社:世界图书出版公司
出版日期:2009-06-01
ISBN:9787510004704
PDF电子书大小:104MB 高清扫描完整版