Modern approaches to the invariantsubspace problem
 Author/Creator
 Chalendar, Isabelle, 1970
 Language
 English.
 Imprint
 Cambridge ; New York : Cambridge University Press, 2011.
 Physical description
 xi, 285 p. : ill. ; 24 cm.
 Series
 Cambridge tracts in mathematics ; 188.
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 269279) and index.
 Contents

 Introduction 1. Background 2. The operatorvalued Poisson kernel and its applications 3. Properties (An, m) and factorization of integrable functions 4. Polynomially bounded operators with rich spectrum 5. Beurling algebras 6. Applications of a fixedpoint theorem 7. Minimal vectors 8. Universal operators 9. Moment sequences and binomial sums 10. Positive and strictlysingular operators Bibliography Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 One of the major unsolved problems in operator theory is the fiftyyearold 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 operatorvalued 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.
(source: Nielsen Book Data)  Supplemental links
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Bibliographic information
 Publication date
 2011
 Responsibility
 Isabelle Chalendar, Jonathan R. Partington.
 Series
 Cambridge tracts in mathematics ; 188
 ISBN
 9781107010512 (hardback)
 1107010519 (hardback)