Harmonic Analysis of Operators on Hilbert Space (Universitext)

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9781441960931: Harmonic Analysis of Operators on Hilbert Space (Universitext)
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Book by Sz Nagy Bla Foias Ciprian Bercovici Hari Krchy Lsz

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From the reviews of the second edition: "The second edition, with coauthors H. Bercovici and L. Kerchy, is a revised and expanded version of the original work. The book presents a theory of contraction operators based on the notion of a minimal unitary dilation. ... The second edition of Harmonic analysis of operators on Hilbert space is a timely update and enlargement of the original work. It should remain a valuable source for the theory of contraction operators for many years to come." (J. Rovnyak, Mathematical Reviews, Issue 2012 b)

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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, including 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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Sz Nagy, BÃ la
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Hari Bercovici, Bela Sz -Nagy, Ciprian Foias
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Descripción Springer-Verlag New York Inc., United States, 2010. Paperback. Condición: New. 2nd ed. 2010. Language: English . Brand New Book. 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, including 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. Nº de ref. del artículo: KNV9781441960931

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Hari Bercovici, Bela Sz -Nagy, Ciprian Foias
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Descripción Springer-Verlag New York Inc., United States, 2010. Paperback. Condición: New. 2nd ed. 2010. Language: English . Brand New Book. 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, including 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. Nº de ref. del artículo: KNV9781441960931

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Descripción Springer-Verlag New York Inc., 2010. PAP. Condición: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. del artículo: IQ-9781441960931

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Béla Sz Nagy (author), Ciprian Foias (author), Hari Bercovici (author), László Kérchy (author)
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Descripción Springer New York 2010-09-01, New York |London, 2010. paperback. Condición: New. Nº de ref. del artículo: 9781441960931

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Descripción Springer-Verlag New York Inc., 2010. PAP. Condición: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. del artículo: LQ-9781441960931

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BÇ LA SZ NAGY
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Descripción Springer, 2010. Paperback. Condición: NEW. 9781441960931 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Nº de ref. del artículo: HTANDREE0297902

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Sz-Nagy, Bela / Foias, Ciprian
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Descripción Condición: New. Publisher/Verlag: Springer, Berlin | 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. | 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. | Format: Paperback | Language/Sprache: english | 705 gr | 478 pp. Nº de ref. del artículo: K9781441960931

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Béla Sz Nagy, Ciprian Foias, Hari Bercovici, László Kérchy
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Descripción Springer, 2010. Paperback. Condición: New. 2nd ed. 2010. Nº de ref. del artículo: DADAX1441960937

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Hari Bercovici
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Descripción Springer Sep 2010, 2010. Taschenbuch. Condición: Neu. Neuware - 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. 478 pp. Englisch. Nº de ref. del artículo: 9781441960931

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