The Resource Harmonic analysis of operators on hilbert space, Béla Sz.Nagy [and others]
Harmonic analysis of operators on hilbert space, Béla Sz.Nagy [and others]
Resource Information
The item Harmonic analysis of operators on hilbert space, Béla Sz.Nagy [and others] 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 Harmonic analysis of operators on hilbert space, Béla Sz.Nagy [and others] 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
 The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 195070. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory. Specifically, the last two chapters of the book continue and complete the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition
 Language
 eng
 Edition
 Rev. and enl. ed.
 Extent
 1 online resource (xiii, 474 pages).
 Contents

 Contractions and Their Dilations
 Geometrical and Spectral Properties of Dilations
 Functional Calculus
 Extended Functional Calculus
 OperatorValued Analytic Functions
 Functional Models
 Regular Factorizations and Invariant Subspaces
 Weak Contractions
 The Structure of C1.Contractions
 The Structure of Operators of Class C0
 Isbn
 9781441960948
 Label
 Harmonic analysis of operators on hilbert space
 Title
 Harmonic analysis of operators on hilbert space
 Statement of responsibility
 Béla Sz.Nagy [and others]
 Language
 eng
 Summary
 The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 195070. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory. Specifically, the last two chapters of the book continue and complete the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition
 Cataloging source
 GW5XE
 Dewey number
 515/.733
 Index
 index present
 LC call number
 QA322.4
 LC item number
 .H37 2010
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 19131998
 http://library.link/vocab/relatedWorkOrContributorName
 SzőkefalviNagy, Béla
 Series statement
 Universitext
 http://library.link/vocab/subjectName

 Hilbert space
 Harmonic analysis
 Harmonic analysis
 Hilbert space
 Label
 Harmonic analysis of operators on hilbert space, Béla Sz.Nagy [and others]
 Bibliography note
 Includes bibliographical references (pages 441464) and indexes
 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
 Contractions and Their Dilations  Geometrical and Spectral Properties of Dilations  Functional Calculus  Extended Functional Calculus  OperatorValued Analytic Functions  Functional Models  Regular Factorizations and Invariant Subspaces  Weak Contractions  The Structure of C1.Contractions  The Structure of Operators of Class C0
 Control code
 676701078
 Dimensions
 unknown
 Edition
 Rev. and enl. ed.
 Extent
 1 online resource (xiii, 474 pages).
 Form of item
 online
 Isbn
 9781441960948
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441960931
 Specific material designation
 remote
 System control number
 (OCoLC)676701078
 Label
 Harmonic analysis of operators on hilbert space, Béla Sz.Nagy [and others]
 Bibliography note
 Includes bibliographical references (pages 441464) and indexes
 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
 Contractions and Their Dilations  Geometrical and Spectral Properties of Dilations  Functional Calculus  Extended Functional Calculus  OperatorValued Analytic Functions  Functional Models  Regular Factorizations and Invariant Subspaces  Weak Contractions  The Structure of C1.Contractions  The Structure of Operators of Class C0
 Control code
 676701078
 Dimensions
 unknown
 Edition
 Rev. and enl. ed.
 Extent
 1 online resource (xiii, 474 pages).
 Form of item
 online
 Isbn
 9781441960948
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441960931
 Specific material designation
 remote
 System control number
 (OCoLC)676701078
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