Harmonic Analysis of Operators on Hilbert Space

• Main Authors: Sz.-Nagy, Bľa. (Author), Foias, Ciprian. (Author), Bercovici, Hari. (Author), Křchy, Ls̀zl.̤ (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Edition: 2.
• Series: Universitext
• Subjects: Mathematics.; Harmonic analysis.; Operator theory.; Abstract Harmonic Analysis.; Operator Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-6094-8

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...

Table of Contents:

• 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.