{正版现货新书} -代数局部紧群和巴拿赫 -代数丛的表示--群和代数的基本表示理论(英文)/国外优秀数学著作原版系列 9787560386751 (美)J.M.G.费尔(J.M.G. Fell)，(美)R.S.多兰(R.S. Doran)著

全新正版现货，以书名为准，放心购买，购书咨询18515909251朱老师

87.64 5.9折 148 全新

库存3件

北京丰台

作者(美)J.M.G.费尔(J.M.G. Fell)，(美)R.S.多兰(R.S. Doran)著

出版社哈尔滨工业大学出版社

ISBN9787560386751

出版时间2020-05

装帧平装

开本16开

定价148元

货号10980470

上书时间2026-01-28

商品详情

品相描述：全新

商品描述: 作者简介

目录
Preface
Introduction to Volume 1 (Chapters I to VII)
Chapter I. Preliminaries
  1. Logical, Set and Functional Notation
  2. Numerical Notation
  3. Topology
  4. Algebra
  5. Seminorms, Normed Spaces, Normed Algebras
  6. Hilbert Spaces
  7. Exercises for Chapter I
  Notes and Remarks
Chapter II. Integration Theory and Banaeh Bundles
  1. δ-Rings, Measures, and Measurable Functions
  2. Integration of Complex Functions
  3. The Outsize ψep Spaces
  4. Local Measurability Structures
  5. Integration of Functions with Values in a Banach Space
  6. Integration of Functions with Values in a Locally Convex Space
  7. The Radon-Nikodym Theorem and Related Topics
  8. Measures on Locally Compact Hausdorff Spaces
  9. Product Measures and Fubinis Theorem
  10. Measure Transformations
  11. Projection-Valued Measures and Spectral Integrals
  12. The Analogue of the Riesz Theorem for Projection-Valued Measures
  13. Banach Bundles
  14. Banach Bundles over Locally Compact Base Spaces
  15. Integration in Banach Bundles over Locally Compact Spaces
  16. Fubini Theorems for Banach Bundles
  17. Exercises for Chapter II
  Notes and Remarks
Chapter III. Locally Compact Groups
  1. Topological Groups and Subgroups
  2. Quotient Spaces and Homomorphisms
  3. Topological Transformation Spaces
  4. Direct and Semidirect Products
  5. Group Extensions
  6. Topological Fields
  7. Haar Measure
  8. The Modular Function
  9. Examples of Haar Measure and the Modular Function
  10. Convolution and Involution of Measures on G
  11. Convolution of functions, the L#1 group algebra
  12. Relations between Measure and Topology on G
  13. Invariant Measures on Coset Spaces
  14. Quasi-Invariant Measures on Coset Spaces
  15. Exercises for Chapter III
  Notes and Remarks
Chapter IV. Algebraic Representation Theory
  1. Fundamental Definitions
  2. Complete Reducibility and Multiplicity for Operator Sets
  3. Representations of Groups and Algebras
  4. The Extended Jacobson Density Theorem
  5. Finite-dimensional Semisimple Algebras
  6. Application to Finite Groups
  7. The Complex Field and *-Algebras
  8. Exercises for Chapter IV
  Notes and Remarks
Chapter V. Locally Convex Representations and Banaeh Algebras
  1. Locally Convex Representations; Fundamental Definitions
  2. Extending Locally Convex Representations of Two-Sided Ideals
  3. The Naimark Relation
  4. Elementary Remarks on Normed Algebras; Examples
  5. The Spectrum
  6. Spectra in Banach Algebras, Mazurs Theorem, Gelfands Theorem
  7. Commutative Banach Algebras
  8. Function Algebras and ψ0(S)
  9. Factorization in Banach Algebras
  10. Exercises for Chapter V
  Notes and Remarks
Chapter VI. C*-Algebras and Their *-Representations
  1. *-Algebras; Elementary Remarks and Examples
  2. Symmetric *-Algebras
  3. C*-Algebras
  4. Commutative C*-Algebras
  5. Spectra in Subalgebras of C*-Algebras
  6. The Functional Calculus in C*-Algebras
  7. Positive Elements and Symmetry of C*-Algebras
  8. Approximate Units in a C*-Algebra; Applications to Ideals and Quotients
  9. Elementary Remarks on *-Representations
  10. The C*-Completion of a Banach *-Algebra; Stones Theorem
  11. The Spectral Theory of Bounded Normal Operators
  12. The Spectral Theory of Unbounded Normal Operators
  13. Polar Decomposition of Operators; Mackeys Form of Schurs Lemma
  14. A Criterion for Irreducibility; Discrete Multiplicity Theory
  15. Compact Operators and Hilbert-Schmidt Operators
  16. The Sturm-Liouville Theory
  17. Inductive Limits of C*-Algebras
  18. Positive Functionals
  19. Positive Functionals and *-Representations
  20. Indecomposable Positive Functionals and Irreducible *-Representations
  21. Positive Functionals on Commutative *-Algebras; the Generalized Bochner and Plancherel Theorems
  22. The Existence of Positive Functionals and *-Representations of C*-Algebras; the Gelfand Naimark Theorem
  23. Application of Extension Techniques to the Algebra of Compact Operators
  24. Von Neumann Algebras and *-Algebras with Type I Representation Theory
  25. Kadisons Irreducibility Theorem and Related Properties of C*-Algebras
  26. Exercises for Chapter VI
  Notes and Remarks
Chapter VII. The Topology of the Space of *-Representations
  1. The Definition and Elementary Properties of the Regional Topology
  2. The Regional Topology and Separation Properties
  3. The Structure Space
  4. Restriction of Representations to Hereditary Subalgebras
  5. The Regional and Hull-Kernel Topologies on the Structure Space of a C*-Algebra
  6. The Baire Property and Local Compactness of A
  7. C*-Algebras with Finite Structure Space
  8. Bundles of C*-Algebras
  9. The Spectral Measure of a *-Representation
  10. *-Representations Whose Spectral Measures are Concentrated at a Single Point
  11. Exercises for Chapter VII
  Notes and Remarks
Appendix A. The Stone Weierstrass Theorems
Appendix B. Unbounded Operators in Hilbert Space
Appendix C. The Existence of Continuous Cross-Sections of Banach Bundles
Bibliography
Name Index
Subject Index
Index of Notation
编辑手记

内容摘要
《*-代数、局部紧群和巴拿赫*-代数丛的表示：群和代数的基本表示理论（英文）》共7章，主要包括集合论与巴拿赫丛、局部紧群，代数表示理论、局部凸表示与巴拿赫代数、C*-代数及其*-表示，*-表示空间的拓扑学，Stone-Weierstrass定理、希尔伯特空间中的无界算子、阿贝尔群和交换巴拿赫*-代数丛等内容。

精彩内容
《*-代数、局部紧群和巴拿赫*-代数丛的表示：群和代数的基本表示理论（英文）》共7章，主要包括集合论与巴拿赫丛、局部紧群，代数表示理论、局部凸表示与巴拿赫代数、C*-代数及其*-表示，*-表示空间的拓扑学，Stone-Weierstrass定理、希尔伯特空间中的无界算子、阿贝尔群和交换巴拿赫*-代数丛等内容。