Harmonic Analysis of Operators on Hilbert Space is popular PDF and ePub book, written by Béla Sz Nagy in 2010-09-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Harmonic Analysis of Operators on Hilbert Space can be Read Online from any device for your convenience.
Harmonic Analysis of Operators on Hilbert Space Book PDF 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 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.
Detail Book of Harmonic Analysis of Operators on Hilbert Space PDF
- Author : Béla Sz Nagy
- Release : 01 September 2010
- Publisher : Springer Science & Business Media
- ISBN : 9781441960931
- Genre : Mathematics
- Total Page : 481 pages
- Language : English
- PDF File Size : 15,7 Mb
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