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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Harmonic Analysis of Operators on Hilbert Space

Harmonic Analysis of Operators on Hilbert Space

Sz Nagy, Béla
Foias, Ciprian
Bercovici, Hari

Paperback

Series: Universitext, Book 0

General Mathematics

ISBN10: 1441960937
ISBN13: 9781441960931
Publisher: Springer Nature
Published: Sep 1 2010
Pages: 478
Weight: 1.64
Height: 1.09 Width: 6.14 Depth: 9.21
Language: English
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.

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