The Resource Spectral theory of operators on hilbert spaces, Carlos S. Kubrusly
Spectral theory of operators on hilbert spaces, Carlos S. Kubrusly
Resource Information
The item Spectral theory of operators on hilbert spaces, Carlos S. Kubrusly represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Spectral theory of operators on hilbert spaces, Carlos S. Kubrusly represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource
 Contents

 Preliminaries
 Spectrum
 Spectral Theorem
 Functional Calculus
 Fredholm Theory
 Isbn
 9780817683283
 Label
 Spectral theory of operators on hilbert spaces
 Title
 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
 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
 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
 10.1007/9780817683283
 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
 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
 10.1007/9780817683283
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)794928599
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Spectraltheoryofoperatorsonhilbertspaces/XMiQ6JeFuZQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Spectraltheoryofoperatorsonhilbertspaces/XMiQ6JeFuZQ/">Spectral theory of operators on hilbert spaces, Carlos S. Kubrusly</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>