Introduction to Spectral Theory in Hilbert Space

by Gilbert Helmberg

Overview

Starting with a definition of Hilbert space and its geometry, this text explores the general theory of bounded linear operators, the spectral analysis of compact linear operators, and unbounded self-adjoint operators. Familiarity with analysis and analytic geometry is the only prerequisite. Extensive appendixes complement the text. 1969 edition.

Product Details

ISBN-13:	9780486466224
Publisher:	Dover Publications
Publication date:	06/11/2008
Series:	Dover Books on Mathematics Series
Pages:	366
Product dimensions:	6.00(w) x 9.10(h) x 0.80(d)

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