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A Short Course on Spectral Theory

A Short Course on Spectral Theory

Hardcover

Series: Graduate Texts in Mathematics, Book 209

Medical ReferenceCalculusGeneral Mathematics

ISBN10: 0387953000
ISBN13: 9780387953007
Publisher: Springer
Published: Nov 9 2001
Pages: 139
Weight: 0.81
Height: 0.49 Width: 6.32 Depth: 9.32
Language: English
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.

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