Introduction to Spectral Theory in Hilbert Space
Author:   Gilbert Helmberg
Publisher:   Dover Publications Inc.
ISBN:  

9780486466224


Pages:   368
Publication Date:   11 June 2008
Format:   Paperback
Availability:   In Print   Availability explained
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Introduction to Spectral Theory in Hilbert Space


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Overview

This text introduces students to Hilbert space and bounded self-adjoint operators, as well as the spectrum of an operator and its spectral decomposition. The author, Emeritus Professor of Mathematics at the University of Innsbruck, Austria, has ensured that the treatment is accessible to readers with no further background than a familiarity with analysis and analytic geometry.Starting with a definition of Hilbert space and its geometry, the text explores the general theory of bounded linear operators, the spectral analysis of compact linear operators, and unbounded self-adjoint operators. Extensive appendixes offer supplemental information on the graph of a linear operator and the Riemann-Stieltjes and Lebesgue integration.

Full Product Details

Author:   Gilbert Helmberg
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 15.80cm , Height: 1.90cm , Length: 23.30cm
Weight:   0.458kg
ISBN:  

9780486466224


ISBN 10:   0486466221
Pages:   368
Publication Date:   11 June 2008
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

I. The concept of Hilbert space II. Specific geometry of Hilbert space III. Bounded linear operators IV. General theory of linear operators V. Spectral analysis of compact linear operators VI. Spectral analysis of bounded linear operators VII. Spectral analysis of unbounded selfadjoint operators Appendix A. The graph of a linear operator Appendix B. Riemann-Stieltjes and Lebesgue integration Bibliography Index of symbols Subject index

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