A Short Course on Spectral Theory Hardcover - 2001
by William Arveson
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.
From the rear cover
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.
Details
- Title A Short Course on Spectral Theory
- Author William Arveson
- Binding Hardcover
- Edition 1st
- Pages 139
- Volumes 1
- Language ENG
- Publisher Springer, New York, NY, U.S.A.
- Date 2001-11-09
- Features Bibliography, Index
- ISBN 9780387953007 / 0387953000
- Weight 0.81 lbs (0.37 kg)
- Dimensions 9.32 x 6.32 x 0.49 in (23.67 x 16.05 x 1.24 cm)
- Library of Congress subjects Spectral theory (Mathematics)
- Library of Congress Catalog Number 2001032836
- Dewey Decimal Code 515.722
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