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Harmonic analysis of operators on hilbert space

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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  • "Analyse harmonique des opérateurs de l'espace de Hilbert"

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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. 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."@en
  • "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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  • "Electronic books"
  • "Electronic books"@en

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  • "Garmoničeskij analiz operatorov v gil'bertovom prostranstve"
  • "Analyse harmonique des operateurs de l'espace de Hilbert"@it
  • "Analyse harmonique des operateurs de l'espace de Hilbert"
  • "Analyse harmonique des opérateurs de l'espace de Hilbert"
  • "Amalyse harmonique des opérateurs de l'espace de Hilbert"
  • "Harmonic analysis of operators on hilbert space"
  • "Harmonic analysis of operators on hilbert space"@en
  • "Garmonicheskiĭ analiz operatorov v Gilʹbertovom prostranstve"
  • "Garmoničeskij analiz operatov v gilʹbertovom prostranstve"
  • "Garmoničeskij analiz operatorov v gilbertovom prostranstve"
  • "Analyse harmonique des opérateurs de l'espace de Hilbert : par Béla Sz.-Nagy,... et Ciprian Foias"
  • "Garmoničeskij analiz operatorov v Gil'bertovom prostranstve"
  • "Harmonic analysis of operators on Hilbert space"
  • "Harmonic analysis of operators on Hilbert space"@en
  • "Harmonic analysis of operators on Hilbert space : transl. and rev. [from the French]"
  • "Harmonic analysis of operators on Hilbert"@en
  • "Analyse harmonique des operateurs de l'espace de hilbert"
  • "Harmonic Analysis of Operators on Hilbert Space"
  • "Harmonic Analysis of Operators on Hilbert Space"@en
  • "Harmonic analysis of operators on Hilbert Space"

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