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.
- ISBN10 0387215182
- ISBN13 9780387215181
- Publish Date 9 August 2004 (first published 1 January 2001)
- Publish Status Active
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Format eBook
- Language English