Harmonic Analysis of Operators on Hilbert Space

• Κύριοι συγγραφείς: Sz.-Nagy, Béla (Συγγραφέας), Foias, Ciprian (Συγγραφέας), Bercovici, Hari (Συγγραφέας), Kérchy, László (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2010.
• Έκδοση: 2.
• Σειρά: Universitext
• Θέματα: Mathematics.; Harmonic analysis.; Functional analysis.; Functions of complex variables.; Operator theory.; Functions of a Complex Variable.; Functional Analysis.; Abstract Harmonic Analysis.; Operator Theory.

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...

Πίνακας περιεχομένων:

• 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.