ENGLISH

A Short Course on Spectral Theory

By William Arveson (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2002
ISBN
9780387953007, 0387953000
DOI
10.1007/b97227
Open Library ID
OL15578079M
Language
english
Format
PDF
Filesize
716 kB (733391 bytes)
Series
Graduate Texts in Mathematics 209
Edition
1
Pages
142\146
Time added
2010-02-18 13:16:04
Analysis; Operator Theory; Functional Analysis

Description

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.

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