A Short Course on Spectral Theory

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...

Full description

Bibliographic Details
Main Author: Arveson, William. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2002.
Edition:1.
Series:Graduate Texts in Mathematics, 209
Subjects:
Online Access:View fulltext via EzAccess
LEADER 02591nam a22005055i 4500
001 23377
003 DE-He213
005 20151204182448.0
007 cr nn 008mamaa
008 121227s2002 xxu| s |||| 0|eng d
020 # # |a 9780387215181  |9 978-0-387-21518-1 
024 7 # |a 10.1007/b97227  |2 doi 
050 # 4 |a QA299.6-433 
072 # 7 |a PBK  |2 bicssc 
072 # 7 |a MAT034000  |2 bisacsh 
082 0 4 |a 515  |2 23 
100 1 # |a Arveson, William.  |e author. 
245 1 2 |a A Short Course on Spectral Theory  |c by William Arveson.  |h [electronic resource] / 
250 # # |a 1. 
264 # 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2002. 
300 # # |a X, 142 p.  |b online resource. 
336 # # |a text  |b txt  |2 rdacontent 
337 # # |a computer  |b c  |2 rdamedia 
338 # # |a online resource  |b cr  |2 rdacarrier 
347 # # |a text file  |b PDF  |2 rda 
490 1 # |a Graduate Texts in Mathematics,  |v 209  |x 0072-5285 ; 
505 0 # |a Spectral Theory and Banach Algebras -- Operators on Hilbert Space -- Asymptotics: Compact Perturbations and Fredholm Theory -- Methods and Applications. 
520 # # |a 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. 
650 # 0 |a Mathematics. 
650 # 0 |a Mathematical analysis. 
650 # 0 |a Analysis (Mathematics). 
650 # 0 |a Functional analysis. 
650 # 0 |a Operator theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Analysis. 
650 2 4 |a Operator Theory. 
650 2 4 |a Functional Analysis. 
710 2 # |a SpringerLink (Online service) 
773 0 # |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9781441929433 
830 # 0 |a Graduate Texts in Mathematics,  |v 209  |x 0072-5285 ; 
856 4 0 |u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/b97227  |z View fulltext via EzAccess 
912 # # |a ZDB-2-SMA 
912 # # |a ZDB-2-BAE 
950 # # |a Mathematics and Statistics (Springer-11649)