Modern approaches to the invariant-subspace problem /
"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...
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| Format: | eBook |
| Language: | English |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
2011.
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| Series: | Cambridge tracts in mathematics ;
188. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | "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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| Item Description: | Description based on print version record. Electronic resource. |
| Physical Description: | 1 online resource (xi, 285 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 1139115774 (electronic bk.) 9781139115773 (electronic bk.) 9781139128605 (electronic bk.) 1139128604 (electronic bk.) 9780511862434 (electronic bk.) 0511862431 (electronic bk.) |