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＜電子ブック＞
A Short Course on Spectral Theory / by William Arveson
(Graduate Texts in Mathematics. ISSN:21975612 ; 209)

版	1st ed. 2002.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2002
本文言語	英語
大きさ	X, 139 p : online resource
著者標目	*Arveson, William author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Operator theory LCSH:Functional analysis FREE:Analysis FREE:Operator Theory FREE:Functional Analysis
一般注記	Spectral Theory and Banach Algebras -- Operators on Hilbert Space -- Asymptotics: Compact Perturbations and Fredholm Theory -- Methods and Applications 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 HTTP:URL=https://doi.org/10.1007/b97227

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