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Functional Analysis by Walter Rudin 1991 Mathematical Analysis HCDJ 2nd Edition
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Functional Analysis by Walter Rudin 1991 Mathematical Analysis HCDJ 2nd Edition
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Functional Analysis by Walter Rudin 1991 Mathematical Analysis HCDJ 2nd Edition

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    Item specifics

    Condition
    Like New: A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is ...
    Personalize
    No
    Book Title
    Functional Analysis
    Era
    1990s
    Signed
    No
    Narrative Type
    Nonfiction
    Personalized
    No
    Original Language
    Bengali
    Genre
    Mathematics & Sciences
    Intended Audience
    Adults
    Country of Origin
    United States
    Vintage
    Yes
    Personalization Instructions
    N/a
    ISBN
    9780070542365
    Category

    About this product

    Product Identifiers

    Publisher
    McGraw-Hill Higher Education
    ISBN-10
    0070542368
    ISBN-13
    9780070542365
    eBay Product ID (ePID)
    28167

    Product Key Features

    Number of Pages
    448 Pages
    Language
    English
    Publication Name
    Functional Analysis
    Subject
    Functional Analysis
    Publication Year
    1991
    Features
    Revised
    Type
    Textbook
    Subject Area
    Mathematics
    Author
    Walter Rudin
    Series
    International Series in Pure and Applied Mathematics
    Format
    Hardcover

    Dimensions

    Item Height
    1.2 in
    Item Weight
    22.8 Oz
    Item Length
    11 in
    Item Width
    8 in

    Additional Product Features

    Edition Number
    2
    Intended Audience
    College Audience
    LCCN
    90-005677
    Dewey Edition
    20
    Dewey Decimal
    515/.7
    Edition Description
    Revised edition
    Table Of Content
    Preface. PART ONE: GENERAL THEORY 1. Topological Vector Space Introduction Separation properties Linear Mappings Finite-dimensional spaces Metrization Boundedness and continuity Seminorms and local convexity Quotient spaces Examples Exercises 2. Completeness Baire category The Banach-Steinhaus theorem The open mapping theorem The closed graph theorem Bilinear mappings Exercises 3. Convexity The Hahn-Banach theorems Weak topologies Compact convex sets Vector-valued integration Holomorphic functions Exercises 4. Duality in Banach Spaces The normed dual of a normed space Adjoints Compact operators Exercises 5. Some Applications A continuity theorem Closed subspaces ofL p -spaces The range of a vector-valued measure A generalized Stone-Weierstrass theorem Two interpolation theorems Kakutani's fixed point theorem Haar measure on compact groups Uncomplemented subspaces Sums of Poisson kernels Two more fixed point theorems Exercises PART TWO: DISTRIBUTIONS AND FOURIER TRANSFORMS 6. Test Functions and Distributions Introduction Test function spaces Calculus with distributions Localization Supports of distributions Distributions as derivatives Convolutions Exercises 7. Fourier Transforms Basic properties Tempered distributions Paley-Wiener theorems Sobolev's lemma Exercises 8. Applications to Differential Equations Fundamental solutions Elliptic equations Exercises 9. Tauberian Theory Wiener's theorem The prime number theorem The renewal equation Exercises PART THREE: BANACH ALGEBRAS AND SPECTRAL THEORY 10. Banach Algebras Introduction Complex homomorphisms Basic properties of spectra Symbolic calculus The group of invertible elements Lomonosov's invariant subspace theorem Exercises 11. Commutative Banach Algebras Ideals and homomorphisms Gelfand transforms Involutions Applications to noncommutative algebras Positive functionals Exercises 12. Bounded Operators on a Hillbert Space Basic facts Bounded operators A commutativity theorem Resolutions of the identity The spectral theorem Eigenvalues of normal operators Positive operators and square roots The group of invertible operators A characterization of B*-algebras An ergodic theorem Exercises 13. Unbounded Operators Introduction Graphs and symmetric operators The Cayley transform Resolutions of the identity The spectral theorem Semigroups of operators Exercises Appendix A: Compactness and Continuity Appendix B: Notes and Comments Bibliography List of Special Symbols Index
    Synopsis
    Part of the Student Series in Advanced Mathematics, this text is written for graduate courses in functional analysis. Used in modern investigations in analysis and applied mathematics, it includes Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem.
    LC Classification Number
    QA320.R83 1991

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