Title: Introduction to Spectral Theory in Hilbert Space (Dover Books on Mathematics)
Publisher: Dover Publications
Publication Date: 2008
Language: English
ISBN 10: 0486466221
ISBN 13: 9780486466224
Binding: Soft cover
Condition: New

About this title

Synopsis

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.

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