Coverart for item
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]

Label
Harmonic analysis of operators on hilbert space
Title
Harmonic analysis of operators on hilbert space
Statement of responsibility
Béla Sz.-Nagy [and others]
Contributor
Subject
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 1950-70. 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
Member of
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
1913-1998
http://library.link/vocab/relatedWorkOrContributorName
Szőkefalvi-Nagy, 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]
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 441-464) 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 -- Operator-Valued 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
978-1-4419-6093-1
Specific material designation
remote
System control number
(OCoLC)676701078
Label
Harmonic analysis of operators on hilbert space, Béla Sz.-Nagy [and others]
Publication
Bibliography note
Includes bibliographical references (pages 441-464) 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 -- Operator-Valued 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
978-1-4419-6093-1
Specific material designation
remote
System control number
(OCoLC)676701078

Library Locations

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      38.944491 -92.326012
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