Coverart for item
The Resource Spectral theory of operators on hilbert spaces, Carlos S. Kubrusly

Spectral theory of operators on hilbert spaces, Carlos S. Kubrusly

Label
Spectral theory of operators on hilbert spaces
Title
Spectral theory of operators on hilbert spaces
Statement of responsibility
Carlos S. Kubrusly
Creator
Subject
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
http://library.link/vocab/creatorDate
1947-
http://library.link/vocab/creatorName
Kubrusly, Carlos S.
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
http://library.link/vocab/subjectName
  • Spectral theory (Mathematics)
  • Hilbert space
  • Mathematical Concepts
  • Mathematics
  • Hilbert space
  • Spectral theory (Mathematics)
Label
Spectral theory of operators on hilbert spaces, Carlos S. Kubrusly
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preliminaries
  • Spectrum
  • Spectral Theorem
  • Functional Calculus
  • Fredholm Theory
Control code
794928599
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9780817683283
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8328-3
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)794928599
Label
Spectral theory of operators on hilbert spaces, Carlos S. Kubrusly
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preliminaries
  • Spectrum
  • Spectral Theorem
  • Functional Calculus
  • Fredholm Theory
Control code
794928599
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9780817683283
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8328-3
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)794928599

Library Locations

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      38.944491 -92.326012
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