作者：（日）章一郎堺
页数：256
出版社：世界图书出版公司
出版日期：2009
ISBN：9787510004704
电子书格式：pdf/epub/txt
内容简介
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。
本书特色
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。
目录
1.General Theory1.1.Definitions of C最-Algebras and W最-Algebras1.2.Commutative C最-Algebras1.3.Stonean Spaces1.4.Positive Elements of a C最-Algebra1.5.Positive Linear Functionais on a C最-Algebra1.6.Extreme Points in the Unit Sphere of a C最-Algebra1.7.The Weak Topology on a W最-Algebra1.8.Various Topologies on a W最-Algebra1.9.Kaplansky’s Density Theorem1.10.Ideals in a W最-Algebra1.11.Spectral Resolution ofSelf-Adjoint Elements in a W最-Algebra1.12.The Polar Decomposition of Elements of a W最-Algebra1.13.Linear Functionals on a W最-Algebra1.14.Polar Decomposition of Linear Functionals on a W最-Algebra1.15.Concrete C最-Algebras and W最-Algebras1.16.The Representation Theorems for C最-Algebras and W最- Algebras1.17.The Second Dual of a O-Algebra1.18.Commutative W最-Algebras ..1.19.The C最-Algebra C of all Compact Linear Operators on a Hilbert Space1.20.The Commutation Theorem of yon Neumann1.21.最-Representations of C最-Algebras, 11.22.Tensor Products of C最-Algebras and W最-Algebras1.23.The Inductive Limit and Infinite Tensor Product of C最-Algebras1.24.Radon-Nikodym Theorems in W最-Algebras 2.Classification of W最-Algebras2.1.Equivalence of Projections and the Comparability Theorem.2.2.Classification of W最-Algebras 2.3.Type I W最-Algebras.2.4.Finite W最-Algebras2.5.Traces and Criterions of Types2.6.Types of Tensor Products of W最-Algebras2.7.最-Representations of C最-Algebras and W最-Algebras, 2.2.8.The Commutation Theorem of Tensor Products2.9.Spatial Isomorphisms of W最-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最-Algebras and W最- 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最-Algebras (Non-Factors)4.6.Type I C最-Algebras4.7.On a Stone-Weierstrass Theorem for C最-AlgebrasBibliographySubject IndexList of Symbols
节选
《C最代数和W最代数(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最代数和W最代数(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。
