A Short Course on Spectral Theory
(Sprache: Englisch)
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,...
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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.
Klappentext zu „A Short Course on Spectral Theory “
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.
Inhaltsverzeichnis zu „A Short Course on Spectral Theory “
- Spectral theory and Banach algebras- Operators on Hilbert space
- Asymptotics: compact perturbations and Fredholm theory
- Methods and applications
- Bibliography
- Index
Bibliographische Angaben
- Autor: William Arveson
- 2001, 139 Seiten, Maße: 16,1 x 23,7 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387953000
- ISBN-13: 9780387953007
Sprache:
Englisch
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