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Harmonic Analysis of Operators on Hilbert Space (Universitext)
Sz Nagy, Béla, Foias, Ciprian, Bercovici, Hari, Kérchy, László
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Description for Harmonic Analysis of Operators on Hilbert Space (Universitext)
Paperback. 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 is not injective. Series: Universitext. Num Pages: 478 pages, 1 black & white illustrations, biography. BIC Classification: PBKD; PBKF. Category: (G) General (US: Trade). Dimension: 159 x 234 x 31. Weight in Grams: 736.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2010
Publisher
Springer
Condition
New
Series
Universitext
Number of Pages
478
Place of Publication
New York, NY, United States
ISBN
9781441960931
SKU
V9781441960931
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Sz Nagy, Béla, Foias, Ciprian, Bercovici, Hari, Kérchy, László
Béla Szőkefalvi-Nagy (1913-1998) was a famed mathematician for his work in functional analysis and operator theory. He was the recipient of the Lomonosov Medal in 1979. Ciprian Ilie Foias is currently a distinguished professor in the department of mathematics at Texas A&M University in College Station. He is well known for his work in operator theory, infinite dimensional dynamical systems, ... Read more
Reviews for Harmonic Analysis of Operators on Hilbert Space (Universitext)
From the reviews of the second edition: “The second edition, with coauthors H. Bercovici and L. Kérchy, is a revised and expanded version of the original work. The book presents a theory of contraction operators based on the notion of a minimal unitary dilation. … The second edition of Harmonic analysis of operators on Hilbert space is a timely ... Read more