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A Short Course on Spectral Theory

A Short Course on Spectral Theory
Catalogue Information
Field name Details
Dewey Class 515
Title A Short Course on Spectral Theory ([EBook] /) / by William Arveson.
Author Arveson, William
Other name(s) SpringerLink (Online service)
Edition statement 1.
Publication New York, NY : : Springer New York : : Imprint: Springer, , 2002.
Physical Details X, 142 p. : online resource.
Series Graduate texts in mathematics 0072-5285 ; ; 209
ISBN 9780387215181
Summary Note 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. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis.:
Contents note Spectral Theory and Banach Algebras -- Operators on Hilbert Space -- Asymptotics: Compact Perturbations and Fredholm Theory -- Methods and Applications.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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