ENGLISH

Harmonic analysis of operators on Hilbert space

By Bela Sz.-Nagy , Ciprian Foias , Hari Bercovici , László Kérchy (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2010
ISBN
1441960937, 9781441960931, 9781441960948
DOI
10.1007/978-1-4419-6094-8
Open Library ID
OL25161809M
Language
english
Format
PDF
Filesize
3 MB (2911454 bytes)
Series
Universitext
Edition
2
Pages
478\489
Library
Kolxo3
Time added
2010-11-11 16:01:50
Abstract Harmonic Analysis; Operator Theory

Description

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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