Spectral theory of operators on hilbert spaces
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The work Spectral theory of operators on hilbert spaces represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Spectral theory of operators on hilbert spaces
Resource Information
The work Spectral theory of operators on hilbert spaces represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Spectral theory of operators on hilbert spaces
 Statement of responsibility
 Carlos S. Kubrusly
 Language
 eng
 Summary
 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 serve 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 final¡section 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
 Cataloging source
 GW5XE
 Dewey number
 515/.7222
 Index
 index present
 LC call number
 QA320
 LC item number
 .K83 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
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