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 refine
A Short Course on Spectral Theory
โ Scribed by William Arveson (auth.)
- Book ID
- 127399868
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 701 KB
- Edition
- 1
- Category
- Library
- City
- New York
- ISBN
- 0387215182
- DOI
- 10.1007/b97227
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
โฆ Subjects
Functional Analysis
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