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

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      Book details

      Publisher Birkhauser Boston Inc
      Published 7/27/2001 12:00:00 AM
      ISBN-13 9780817642624
      978-0817642624
      ISBN-10 0817642625
      Also in:
      Mathematics Applied mathematics Functional analysis and transforms Technology, Engineering & Agriculture 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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