Description

Book Synopsis
rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators;

Table of Contents
Introduction * I. Hilbert Spaces * II. Bounded Linear Operators on Hilbert Spaces * III. Spectral Theory of Compact Self Adjoint Operators * IV. Spectral Theory of Integral Operators * V. Oscillations of an Elastic String * VI. Operational Calculus with Applications * VII. Solving Linear Equations by Iterative Methods * VIII. Further Developments of the Spectral Theorem * IX. Banach Spaces * X. Linear Operators on a Banach Space * XI. Compact Operators on a Banach Space * XII. Non-Linear Operators * Appendix 1. Countable Sets and Separable Hilbert Spaces * Appendix 2. Lebesgue Integration and LP Spaces * Appendix 3. Proof of the Hahn-Banach Theorem * Appendix 4. Proof of the Closed Graph Theorem * Suggested Reading * References * Index

Basic Operator Theory

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A Paperback by Israel Gohberg, Seymour Goldberg

15 in stock


    View other formats and editions of Basic Operator Theory by Israel Gohberg

    Publisher: Birkhäuser
    Publication Date: 7/27/2001 12:00:00 AM
    ISBN13: 9780817642624, 978-0817642624
    ISBN10: 0817642625
    Also in:
    Applied mathematics Functional analysis and transforms Maths for engineers

    Description

    Book Synopsis
    rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators;

    Table of Contents
    Introduction * I. Hilbert Spaces * II. Bounded Linear Operators on Hilbert Spaces * III. Spectral Theory of Compact Self Adjoint Operators * IV. Spectral Theory of Integral Operators * V. Oscillations of an Elastic String * VI. Operational Calculus with Applications * VII. Solving Linear Equations by Iterative Methods * VIII. Further Developments of the Spectral Theorem * IX. Banach Spaces * X. Linear Operators on a Banach Space * XI. Compact Operators on a Banach Space * XII. Non-Linear Operators * Appendix 1. Countable Sets and Separable Hilbert Spaces * Appendix 2. Lebesgue Integration and LP Spaces * Appendix 3. Proof of the Hahn-Banach Theorem * Appendix 4. Proof of the Closed Graph Theorem * Suggested Reading * References * Index

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