Harmonic Analysis of Operators on Hilbert Space

Sz.-Nagy, Bela & Ciprian Foias

ISBN 10: 0444100466 / ISBN 13: 9780444100467

Published by North-Holland Publishing & American Elsevier Publishing, 1970

About this Item

1970. 1st. hardcover. Cloth, dj. Octavo. xiii & 389 pp. Mild shelf wear and moderate chipping to dust jacket. Stamp to ffep. Altogether a copy in Very Good condition. Very Good.

Seller Inventory # C59623

Bibliographic Details

• Title: Harmonic Analysis of Operators on Hilbert Space
• Publisher: North-Holland Publishing & American Elsevier Publishing
• Publication Date: 1970
• Language: English
• ISBN 10: 0444100466
• ISBN 13: 9780444100467
• Binding: Hardcover
• Condition: Used - Very Good
• Dust Jacket Condition: Dust Jacket Included
• Seller catalogs:
  • Mathematics

About this title

Synopsis

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, 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.