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算子代数理论I
  • 书号:9787030182913
    作者:(日)竹崎政路(Takesaki, M.)著
  • 外文书名:Theory of Operator Algebra
  • 装帧:精装
    开本:B5
  • 页数:436
    字数:511000
    语种:英文
  • 出版社:科学出版社
    出版时间:2007-01-09
  • 所属分类:O17 数学分析
  • 定价: ¥78.00元
    售价: ¥61.62元
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目录

  • Theory of Operator AlgebrasⅠ
    Introduction
    Chapter Ⅰ
    Fundamentals of Banach Algebras and C*-Algebras
    0. Introduction
    1. Banach Algebras
    2. Spectrum and Functional Calculu
    3. Gelfand Representation of Abelian Banach Algebras
    4. Spectrum and Functional Calculus in C*-Algebra
    5. Continuity of Homomorphisms
    6. Positive Cones of C*-Algebras
    7. Approximate Identities in C*-Algebras
    8. Quotient Algebras of C*-Algebras
    9. Representations and Positive Linear Functionals
    10. Extreme Points of the Unit Ball of a C*-Algebra
    11. Finite Dimensional C*-Algebras
    Notes
    Exercises
    ChapterⅡ
    Topologies and Density Theorems in Operator Algebras
    0. Introduction
    1. Banach Spaces of Operators on a Hilbert Space
    2. Locally Convex Topologies in (.)
    3. The Double Commutation Theorem of J. yon Neumann
    4. Density Theorems
    Notes
    Chapter Ⅲ
    Conjugate Spaces
    0. Introduction
    1. Abelian Operator Algebras
    2. The Universal Enveloping von Neumann Algebra of a C-Algebra
    3. W*-Algebras
    4. The Polar Decomposition and the Absolute Value of Functionals
    5. Topological Properties of the Conjugate Space
    6. Semicontinuity in the Universal Enveloping von Neumann Algebra*
    Notes
    Chapter Ⅳ
    Tensor Products of Operator Algebras and Direct Integrals
    0. Introduction
    1. Tensor Product of Hilbert Spaces and Operators
    2. Tensor Products of Banach Spaces
    3. Completely Positive Maps
    4. Tensor Products of C*-Algebras
    5. Tensor Products of W*-Algebras
    Notes
    6. Integral Representations of States
    7. Representation of LE(F,/.μ) (0+) , LI(F,μ) (0+) m*,, and L(F,μ)(0+) u
    8. Direct Integral of Hilbert Spaces, Representations, and von Neumann Algebras
    Notes
    Chapter Ⅴ
    Type, s of von Neumann Algebras and Traces
    0. Introduction
    1. Projections and Types of von Neumann Algebras
    2. Traces on von Neumann Algebras
    Notes
    3. Multiplicity of a yon Neumann Algebra on a Hilbert Space
    4. Ergodic Type Theorem for von Neumann Algebras*
    5. Normality of Separable Representations*
    6. The Borel Spaces of von Neumann Algebras
    7. Construction of Factors of Type II and Type Ⅲ
    Notes
    Appendix
    Polish Spaces and Standard Borel Spaces
    Bibliography
    Monographs
    Papers
    Notation Index
    Subject Index
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