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This title in other editions

Graduate Texts in Mathematics #209: A Short Course on Spectral Theory

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Graduate Texts in Mathematics #209: A Short Course on Spectral Theory Cover

 

Synopses & Reviews

Publisher Comments:

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.

Table of Contents

Spectral theory and Banach algebras * Operators on Hilbert space * Asymptotics: compact perturbations and Fredholm theory * Methods and applications * Bibliography * Index

Product Details

ISBN:
9781441929433
Author:
Arveson, William
Publisher:
Springer
Subject:
Mathematics-Calculus
Subject:
Mathematical Analysis
Subject:
Banachalgebra
Subject:
C*-algebra
Subject:
Spectral Ttheory
Subject:
Analysis
Subject:
Operator theory
Subject:
Functional Analysis
Edition Description:
Softcover reprint of hardcover 1st ed. 2002
Series:
Graduate Texts in Mathematics
Series Volume:
209
Publication Date:
20101031
Binding:
TRADE PAPER
Language:
English
Pages:
146
Dimensions:
235 x 155 mm 229 gr

Related Subjects

Health and Self-Help » Health and Medicine » General
Health and Self-Help » Health and Medicine » General Medicine
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » General

Graduate Texts in Mathematics #209: A Short Course on Spectral Theory New Trade Paper
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