Overview

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.
ISBN-13

9781107010512

ISBN-10

1107010519

Weight

1.30 Pounds

Dimensions

6.10 x 0.80 x 9.10 In

List Price

$135.00

Edition

1st Edition

Format

Hardcover

Language

English

Pages

298 pages

Publisher

Cambridge University Press

Published On

2011-08-18


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Print on demand Contains: Line drawings, Unspecified. Cambridge Tracts in Mathematics . 4 b/w illus...
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