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Modern approaches to the invariant-s...

Partington, Jonathan R. (1955-)

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Modern approaches to the invariant-subspace problem /

紀錄類型:	書目-語言資料,印刷品 : 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, UK ;Cambridge University Press, : 2011.,
面頁冊數:	xi, 285 p. :ill. ;24 cm.
標題:	Hilbert space. -
電子資源:	http://assets.cambridge.org/97811070/10512/cover/9781107010512.jpg
ISBN:	9781107010512 (hbk.) :

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

Modern approaches to the invariant-subspace problem /Isabelle Chalendar, Jonathan R. Partington. - Cambridge, UK ;Cambridge University Press,2011. - xi, 285 p. :ill. ;24 cm. - Cambridge tracts in mathematics ;188. - Cambridge tracts in mathematics ;177..

Includes bibliographical references (p. 269-279) and index.

The operator-valued Poisson kernel and its applications --

"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: 9781107010512 (hbk.) :US80.00

LCCN: 2011019460Subjects--Topical Terms:

558371
Hilbert space.

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

Dewey Class. No.: 515/.724

Modern approaches to the invariant-subspace problem /
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100 1 $a Chalendar, Isabelle, $d 1970- $3 2012755
245 1 0 $a Modern approaches to the invariant-subspace problem / $c Isabelle Chalendar, Jonathan R. Partington.
260 # $a Cambridge, UK ; $a New York : $b Cambridge University Press, $c 2011.
300 $a xi, 285 p. : $b ill. ; $c 24 cm.
490 1 0 $a Cambridge tracts in mathematics ; $v 188
504 $a Includes bibliographical references (p. 269-279) and index.
505 0 # $t The operator-valued Poisson kernel and its applications -- $t Properties (An,m) and factorization of integrable functions -- $t Polynomially bounded operators with rich spectrum -- $t Beurling algebras -- $t Applications of a fixed-point theorem -- $t Minimal vectors -- $t Universal operators -- $t Moment sequences and binomial sums -- $t Positive and strictly-singular operators.
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"-- $c Provided by publisher.
650 # 0 $a Hilbert space. $3 558371
650 # 0 $a Invariant subspaces. $3 693118
700 1 # $a Partington, Jonathan R. $q (Jonathan Richard), $d 1955- $3 2012756
830 0 $a Cambridge tracts in mathematics ; $v 177. $3 1232911
856 4 2 $3 Cover image $u http://assets.cambridge.org/97811070/10512/cover/9781107010512.jpg