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MARC 21

A Short Course on Spectral Theory
Tag	Description
020	$a9780387215181$9978-0-387-21518-1
082	$a515$223
099	$aOnline resource: Springer
100	$aArveson, William.
245	$aA Short Course on Spectral Theory$h[EBook] /$cby William Arveson.
250	$a1.
260	$aNew York, NY :$bSpringer New York :$bImprint: Springer,$c2002.
300	$aX, 142 p.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aGraduate Texts in Mathematics,$x0072-5285 ;$v209
505	$aSpectral Theory and Banach Algebras -- Operators on Hilbert Space -- Asymptotics: Compact Perturbations and Fredholm Theory -- Methods and Applications.
520	$aThis 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
710	$aSpringerLink (Online service)
830	$aGraduate Texts in Mathematics,$x0072-5285 ;$v209
856	$uhttp://dx.doi.org/10.1007/b97227