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Modern Approaches to the Invariant-Subspace Problem

Modern Approaches to the Invariant-Subspace Problem

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Item 9781107010512

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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 ca...

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Modern Approaches to the Invariant-Subspace Problem
Modern Approaches to the Invariant-Subspace Problem
Item 9781107010512
Presents work on the invariant subspace problem, a major unsolved problem in operator theory.
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Modern Approaches to the Invariant-Subspace Problem
Modern Approaches to the Invariant-Subspace Problem
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Modern Approaches to the Invariant-Subspace Problem
Modern Approaches to the Invariant-Subspace Problem
Item 9781107010512
Isabelle Chalendar, Jonathan R. Partington,Hardcover,Series: Cambridge Tracts in Mathematics Series 188, English-language edition,Pub by Cambridge University Press
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Modern Approaches to the Invariant-Subspace Problem (Hardcover)
Modern Approaches to the Invariant-Subspace Problem (Hardcover)
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Modern Approaches to the Invariant-Subspace Problem
Modern Approaches to the Invariant-Subspace Problem
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Product Info
"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"--
Provided by publisher.
Modern Approaches to the Invariant-Subspace Problem
General
ISBN

9781107010512

Fiction/Non-Fiction

Non-Fiction

Publisher

Cambridge Univ Pr

Pages

285

List Price

$75.00

Author

Chalendar, Isabelle

Partington, Jonathan R.

Publication Date

09/30/2011

Release Status

In Print

Format

Hardcover

Language

English

Measurements

Height: 9.25 Inches (US)

Width: 6.1 Inches (US)

Thickness: 0.75 Inches (US)

Unit Weight: 1.2 Pounds (US)

Series

Cambridge Tracts in Mathematics

"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"--

Provided by publisher.

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