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  • 醉染图书算子理论教程9787040469158
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    • 作者: (美)约翰·康韦著 | (美)约翰·康韦编 | (美)约翰·康韦译 | (美)约翰·康韦绘
    • 出版社: 高等教育出版社
    • 出版时间:2018-06-01
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    • 作者: (美)约翰·康韦著| (美)约翰·康韦编| (美)约翰·康韦译| (美)约翰·康韦绘
    • 出版社:高等教育出版社
    • 出版时间:2018-06-01
    • 版次:1
    • 印次:1
    • 字数:530000
    • 页数:392
    • 开本:16开
    • ISBN:9787040469158
    • 版权提供:高等教育出版社
    • 作者:(美)约翰·康韦
    • 著:(美)约翰·康韦
    • 装帧:精装
    • 印次:1
    • 定价:169.00
    • ISBN:9787040469158
    • 出版社:高等教育出版社
    • 开本:16开
    • 印刷时间:暂无
    • 语种:暂无
    • 出版时间:2018-06-01
    • 页数:392
    • 外部编号:1201705056
    • 版次:1
    • 成品尺寸:暂无

    Chapter 1.Introduction to C*-Algebras

    1.Definition and examples

    2.Abelian C*-algebras and the Functional Calculus

    3.The positive elements in a C*-algebra

    4.Approximate identities

    5.Ideals in a C*-algebra

    6.Representations of a C*-algebra

    7.Positive linear functionals and the GNS construction

    Chapter 2.Normal Operators

    8.Some topologies on B(H)

    9.Spectral measures

    10.The Spectral Theorem

    11.Star-cyclic normal operators

    12.The commutant

    13.Von Neumann algebras

    14.Abelian von Neumann algebras

    15.The functional calculus for normal operators

    Chapter 3.Compact Operators

    16.C*-algebras of compact operators

    17.Ideals of operators

    18.Trace class and Hilbert-Schmidt operators

    19.The dual spaces of the compact operators and the trace class

    20.The weak-sr oology

    21.Inflation and the topologies

    Chapter 4.Some Non-Normal Operators

    22.Algebras and lattices

    .Isometries

    24.Unilateral and bilateral shifts

    25.Some results on Hardy spaces

    26.The functional calculus for the unilateral shift

    27.Weighted shifts

    28.The Volterra operator

    29.Bergman operators

    30.Subnormal operators

    31.Essentially normal operators

    Chapter 5.More on C*-Algebras

    32.Irreducible representations

    33.Positive maps

    34.Completely positive maps

    35.An application: Spectral sets and the Sz.-Nagy DilationTheorem

    36.sicentral approximate identitites

    Chapter 6.Compact Perturbations

    37.Behavior of the spectrum under a compact perturbation

    38.Bp perturbations of hermitian operators

    39.The Weyl-von Neumann-Berg Theorem

    40.Voiculescus Theorem

    41.Approximately equivalent representations

    42.Some applications

    Chapter 7.Introduction to Von Neumann Algebras

    43.Elementary properties and examples

    44.The Kaplansky Density Theorem

    45.The Pedersen Up-Down Theorem

    46.Normal homomorphisms and ideals

    47.Equivalence of projections

    48.Classification of projections

    49.Properties of projections

    50.The structure of Type I algebras

    51.The classification of Type I algebras

    52.Operator-valued measurable functions

    53.Some structure theory for continuous algebras

    54.Weak-star continuous linear functionals revisited

    55.The center-valued trace

    Chapter 8.Reflexivity

    56.Fundamentals and examples

    57.Reflexive operators on finite dimensional spaces

    58.Hyperreflexive subspaces

    59.Reflexivity an daty

    60.Hypereflexive von Neumann algebras

    61.Some examples of operators

    Bibliography

    Index

    List of Symbols

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