Modern Approaches to the Invariant-Subspace Problem (Cambridge Tracts in Mathematics, Series Number 188) - Hardcover
Synopsis
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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About the Authors
Isabelle Chalendar is an Assistant Professor in the Department of Mathematics at the University of Lyon 1, France.
Jonathan R. Partington is a Professor in the School of Mathematics at the University of Leeds.
"About this title" may belong to another edition of this title.
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Cambridge Tracts in Mathematics: Modern Approaches to the Invariant-Subspace Problem (Volume 188)
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Modern Approaches to the Invariant-Subspace Problem (Hardcover)
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ISBN 10: 1107010519
ISBN 13: 9781107010512
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Hardcover. Condition: new. Hardcover. 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. The authors survey the state of current research on the invariant subspace problem for linear operators, a major unsolved problem in mathematics that has inspired much research in the past fifty years. The subject is presented at a level suitable for postgraduate students and established researchers in mathematics. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781107010512
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Modern Approaches to the Invariant-Subspace Problem (Cambridge Tracts in Mathematics, Series Number 188)
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ISBN 13: 9781107010512
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Modern Approaches to the Invariant-Subspace Problem (Cambridge Tracts in Mathematics, Series Number 188)
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ISBN 13: 9781107010512
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Modern Approaches to the Invariant-Subspace Problem: 188 (Cambridge Tracts in Mathematics, Series Number 188)
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Condition: New. Presents work on the invariant subspace problem, a major unsolved problem in operator theory. Series: Cambridge Tracts in Mathematics. Num Pages: 298 pages, 4 b/w illus. 65 exercises. BIC Classification: PBKF. Category: (U) Tertiary Education (US: College). Dimension: 238 x 162 x 20. Weight in Grams: 588. . 2011. 1st Edition. hardcover. . . . . Seller Inventory # V9781107010512
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Modern Approaches to the Invariant-Subspace Problem
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Modern Approaches to the Invariant-Subspace Problem
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The authors survey the state of current research on the invariant subspace problem for linear operators, a major unsolved problem in mathematics that has inspired much research in the past fifty years. The subject is presented at a level suitable for postgr. Seller Inventory # 447213304
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Modern Approaches to the Invariant-Subspace Problem (Hardcover)
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ISBN 13: 9781107010512
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Hardcover. Condition: new. Hardcover. 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. The authors survey the state of current research on the invariant subspace problem for linear operators, a major unsolved problem in mathematics that has inspired much research in the past fifty years. The subject is presented at a level suitable for postgraduate students and established researchers in mathematics. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781107010512
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Modern Approaches to the Invariant-Subspace Problem
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