Short course on spectral theory

Wiliam Arveson

132 pages, parution le 17/12/2001

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Résumé

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

Contents

Preface
Chapter 1. Spectral Theory and banach algebras
Chapter 2. Operators on Hilbert Space
Chapter 3 Asymptotics : Compact Perturbations and Fredholm
Chapter 4 Methods and applications
Bibliography

L'auteur - Wiliam Arveson

William Arveson is Professor of Mathematics at the University of California, Berkeley. He has published two previous books with Springer-Verlag, An Invitation to C*-algebras (1976) and A Short Course on Spectral Theory (2001).

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Wiliam Arveson
Parution	17/12/2001
Nb. de pages	132
Format	15,7 x 24
Couverture	Relié
Poids	371g
Intérieur	Noir et Blanc
EAN13	9780387953007
ISBN13	978-0-387-95300-7