Harmonic analysis of operators on Hilbert space
 Language
 English.
 Edition
 Rev. and enlarged ed., 2nd ed.
 Imprint
 New York : Springer, c2010.
 Physical description
 xiii, 474 p. : ill. ; 24 cm.
 Series
 Universitext.
Access
Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 441463) and indexes.
 Contents

 Contractions and Their Dilations. Geometrical and Spectral Properties of Dilations. Functional Calculus. Extended Functional Calculus. OperatorValued Analytic Functions. Functional Models. Regular Factorizations and Invariant Subspaces. Weak Contractions. The Structure of C1.Contractions. The Structure of Operators of Class C0.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 195070. 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, including 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2010
 Responsibility
 Béla Sz. Nagy ... [et. al].
 Series
 Universitext
 ISBN
 9781441960931
 1441960937
 9781441960948
 1441960945