A short course on spectral theory
Author(s)
Bibliographic Information
A short course on spectral theory
(Graduate texts in mathematics, 209)
Springer, c2002
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Note
Bibliography: p. 131
Includes index
Description and Table of Contents
Description
This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.
Table of Contents
Spectral theory and Banach algebras * Operators on Hilbert space * Asymptotics: compact perturbations and Fredholm theory * Methods and applications * Bibliography * Index
by "Nielsen BookData"