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100907s2010 xxu| s |||| 0|eng d |
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|a 9781441960948
|9 978-1-4419-6094-8
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|a 10.1007/978-1-4419-6094-8
|2 doi
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|a QA403-403.3
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|a PBKD
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|a MAT034000
|2 bisacsh
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|a 515.785
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|a Sz.-Nagy, Bľa.
|e author.
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|a Harmonic Analysis of Operators on Hilbert Space
|c by Bľa Sz.-Nagy, Ciprian Foias, Hari Bercovici, Ls̀zl ̤Křchy.
|h [electronic resource] /
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|a 2.
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|a New York, NY :
|b Springer New York,
|c 2010.
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|a XIII, 474p. 1 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
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|a Universitext
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|a Preface -- Contractions and their dilations -- Properties of unitary dilations -- Functional calculus -- Extended functional calculus -- Operator valued analytic functions -- Functional models -- Regular factorizations and invariant subspaces -- Weak contractions -- The structure of C_{ cdot0} contractions -- The structire of Operators of class C_0 -- Further results -- Bibliography -- Author Index -- Subject index -- Notation index.
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|a 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.
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|a Mathematics.
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|a Harmonic analysis.
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|a Operator theory.
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| 650 |
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|a Mathematics.
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|a Abstract Harmonic Analysis.
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| 650 |
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|a Operator Theory.
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| 700 |
1 |
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|a Foias, Ciprian.
|e author.
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| 700 |
1 |
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|a Bercovici, Hari.
|e author.
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| 700 |
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|a Křchy, Ls̀zl.̤
|e author.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9781441960931
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| 830 |
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|a Universitext
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-6094-8
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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