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Catalogue Information
Field name	Details
Dewey Class	515.724
Title	Spectral Theory of Operators on Hilbert Spaces ([EBook]) / by Carlos S. Kubrusly.
Author	Kubrusly, Carlos S. , 1947-
Other name(s)	SpringerLink (Online service)
Publication	Boston : Birkhäuser
Publication	, 2012.
Physical Details	X, 197 pages, 2 illus. : online resource.
ISBN	9780817683283
Summary Note	This work is intended to provide a concise introduction to the spectral theory of Hilbert space operators. With an emphasis on detailed proofs and recent aspects of theory, it can seve as a modern textbook for a first graduate course in the subject. The coverage of topics is thorough, exploring various intricate points and hidden features often left untreated. The book begins with a primer on Hilbert space theory, summarizing the basics required for the remainder of the book and establishing unified notation and terminology. After this, standard spectral results for (bounded linear) operators on Banach and Hilbert spaces, including the classical partition of the spectrum and spectral properties for specific classes of operators, are discussed. A study of the spectral theorem for normal operators follows, covering both the compact and the general case, and proving both versions of the theorem in full detail. This leads into an investigation of functional calculus for normal operators and Riesz functional calculus, which in turn is followed by Fredholm theory and compact perturbations of the spectrum, where a finer analysis of the spectrum is worked out. Here, further partitions involving the essential spectrum, including the Weyl and Browder spectra, are introduced.The finalsection of the book deals with Weyl's and Browder's theorems and provides a look at very recent results. Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will be useful for working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to harness the applications of this theory.:
Contents note	Preface -- Preliminaries -- Spectrum -- Spectral Theorem -- Functional Calculus -- Fredholm Theory -- References -- Index.
System details note	Online access is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-8328-3
Links to Related Works	Subject References: Algebra . Functional Analysis . Hilbert space . Non-associative Rings and Algebras . Operator Theory . Spectral theory . Authors: Kubrusly, Carlos S. 1947- . Corporate Authors: SpringerLink (Online service) . Classification: 515.724 .

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Spectral Theory of Operators on Hilbert Spaces

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