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Modern approaches to the invariant-s...

Chalendar, Isabelle, (1970-)

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Modern approaches to the invariant-subspace problem

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Modern approaches to the invariant-subspace problem/ Isabelle Chalendar, Jonathan R. Partington.
作者:	Chalendar, Isabelle,
其他作者:	Partington, Jonathan R.
出版者:	Cambridge :Cambridge University Press, : 2011.,
面頁冊數:	xi, 285 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	The operator-valued Poisson kernel and its applications -- Properties (An, m) and factorization of integrable functions -- Polynomially bounded operators with rich spectrum -- Beurling algebras -- Applications of a fixed-point theorem -- Minimal vectors -- Universal operators -- Moment sequences and binomial sums -- Positive and strictly-singular operators.
標題:	Invariant subspaces. -
電子資源:	https://doi.org/10.1017/CBO9780511862434
ISBN:	9780511862434

Modern approaches to the invariant-subspace problem
Chalendar, Isabelle,1970-

Modern approaches to the invariant-subspace problem[electronic resource] /Isabelle Chalendar, Jonathan R. Partington. - Cambridge :Cambridge University Press,2011. - xi, 285 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;188. - Cambridge tracts in mathematics ;188..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

The operator-valued Poisson kernel and its applications -- Properties (An, m) and factorization of integrable functions -- Polynomially bounded operators with rich spectrum -- Beurling algebras -- Applications of a fixed-point theorem -- Minimal vectors -- Universal operators -- Moment sequences and binomial sums -- Positive and strictly-singular operators.

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.

ISBN: 9780511862434Subjects--Topical Terms:

693118
Invariant subspaces.

LC Class. No.: QA322.4 / .C46 2011

Dewey Class. No.: 515.724

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520 $a 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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