Modern Approaches to the Invariant-Subspace Problem (BOK)

Isabelle Chalendar

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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.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2011 Forfatter Isabelle Chalendar
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9781107010512
Antall sider 298 Dimensjoner 15,9cm x 23,6cm x 1,9cm
Vekt 552 gram Leverandør Bertram Trading Ltd