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Modern Approaches to the Invariant-Subspace Problem
Contributor(s): Chalendar, Isabelle (Author), Partington, Jonathan R. (Author)

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 ISBN: 1139128604     ISBN-13: 9781139128605
Publisher: Cambridge University Press
OUR PRICE: $68.00  

Binding Type: Open Ebook - See All Available Formats & Editions
Published: December
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Click for more in this series: Cambridge Tracts in Mathematics (Hardcover)
Additional Information
BISAC Categories:
- Mathematics | Algebra - Abstract
- Mathematics | Calculus
Dewey: 515.724
Series: Cambridge Tracts in Mathematics (Hardcover)
Physical Information: 298 pages
Features: Price on Product
 
Descriptions, Reviews, Etc.
Publisher Description:
One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that were derived within the past few years and cannot be found in other books. Beginning with a preliminary chapter containing the necessary pure mathematical background, the authors present a variety of powerful techniques, including the use of the operator-valued Poisson kernel, various forms of the functional calculus, Hardy spaces, fixed point theorems, minimal vectors, universal operators and moment sequences. The subject is presented at a level accessible to postgraduate students, as well as established researchers. It will be of particular interest to those who study linear operators and also to those who work in other areas of pure mathematics.
 
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