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 math...

Full description

Bibliographic Details
Main Authors: Sz Nagy, Béla, Foias, Ciprian (Author), Bercovici, Hari (Author), Kérchy, László (Author)
Format: eBook
Published: New York, NY Springer New York 2010, 2010
Edition:2nd ed. 2010
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of 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