A Short Course on Spectral Theory

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A Short Course on Spectral Theory

2001-11-09 | ISBN: 0387953000, 1441929436 | PDF | 142 Pages | 1.29 MB

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, nd 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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