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Thread: Functional Analysis By Walter Rudin

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    Functional Analysis 2nd edition By Walter Rudin
    • Publisher: McGraw-Hill Science/Engineering/Math
    • Number Of Pages: 448
    • Publication Date: 1991-01-01
    • Sales Rank: 205663
    • ISBN / ASIN: 0070542368
    • EAN: 9780070542365
    • Binding: Hardcover
    • Manufacturer: McGraw-Hill Science/Engineering/Math
    • Studio: McGraw-Hill Science/Engineering/Math
    • Average Rating: 5
    • Total Reviews: 4

    Book Description:
    This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem.
    This text is part of the Walter Rudin Student Series in Advanced Mathematics.

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    original filename: Rudin W. Functional Analysis(2ed., MGH, 1991)(KA)(T)(ISBN 0070542368)(440s)_MCf_.djvu
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    Functional Analysis, 1st edition by: Walter Rudin

    Book Description
    This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem.

    Table of Contents:
    Preface.PART ONE: GENERAL THEORY 1. Topological Vector Space 2. Completeness 3. Convexity 4. Duality in Banach Spaces 5. Some Applications PART TWO: DISTRIBUTIONS AND FOURIER TRANSFORMS 6. Test Functions and Distributions 7. Fourier Transforms 8. Applications to Differential Equations 9. Tauberian Theory PART THREE: BANACH ALGEBRAS AND SPECTRAL THEORY 10. Banach Algebras 11. Commutative Banach Algebras 12. Bounded Operators on a Hillbert Space 13. Unbounded Operators Appendix A: Compactness and Continuity Appendix B: Notes and Comments Bibliography List of Special Symbols Index




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