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Representations of linear operators ...

Edmunds, D. E.

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Representations of linear operators between Banach spaces /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Representations of linear operators between Banach spaces // David E. Edmunds, W. Desmond Evans.
Author:	Edmunds, D. E.
other author:	Evans, William D.
Published:	Basel ;Birkhäuser/Springer, : 2013.,
Description:	xi, 152 p. :ill ;24 cm.
Subject:	Linear operators. -
ISBN:	9783034806411 (hbk.) :
ISSN:	02550156

Representations of linear operators between Banach spaces /
Edmunds, D. E.

Representations of linear operators between Banach spaces /David E. Edmunds, W. Desmond Evans. - Basel ;Birkhäuser/Springer,2013. - xi, 152 p. :ill ;24 cm.

Includes bibliographical references and index.

Basic notation --

The book deals with the representation in series form of compact linear operators acting between Banach spaces, and provides an analogue of the classical Hilbert space results of this nature that have their roots in the work of D. Hilbert, F. Riesz and E. Schmidt. The representation involves a recursively obtained sequence of points on the unit sphere of the initial space and a corresponding sequence of positive numbers that correspond to the eigenvectors and eigenvalues of the map in the Hilbert space case. The lack of orthogonality is partially compensated by the systematic use of polar sets. There are applications to the p-Laplacian and similar nonlinear partial differential equations. Preliminary material is presented in the first chapter, the main results being established in Chapter 2. The final chapter is devoted to the problems encountered when trying to represent non-compact maps.

ISBN: 9783034806411 (hbk.) :EUR84.99

ISSN: 02550156

LCCN: 2013948130Subjects--Topical Terms:

576799
Linear operators.

LC Class. No.: QA329.2 / .E324 2013

Representations of linear operators between Banach spaces /
LDR:01760cam a2200241Ii 4500 001 1931858
003 OCoLC
005 20141117112900.0
008 140826s2013 sz b 001 0 eng d
010 $a 2013948130
020 $a 9783034806411 (hbk.) : $c EUR84.99
020 $a 3034806418 (hbk.)
020 $a 9783034806428 (ebk.)
020 $a 3034806426 (ebk.)
022 $a 02550156
022 $a 22964878 (ebk.)
040 $a BTCTA $b eng
050 1 4 $a QA329.2 $b .E324 2013
100 1 $a Edmunds, D. E. $q (David Eric) $3 1306027
245 1 0 $a Representations of linear operators between Banach spaces / $c David E. Edmunds, W. Desmond Evans.
260 # $a Basel ; $a New York : $b Birkhäuser/Springer, $c 2013.
300 $a xi, 152 p. : $b ill ; $c 24 cm.
504 $a Includes bibliographical references and index.
505 0 # $t Basic notation -- $t Preliminaries -- $t Representation of compact linear operators -- $t Representation of bounded linear operators.
520 3 $a The book deals with the representation in series form of compact linear operators acting between Banach spaces, and provides an analogue of the classical Hilbert space results of this nature that have their roots in the work of D. Hilbert, F. Riesz and E. Schmidt. The representation involves a recursively obtained sequence of points on the unit sphere of the initial space and a corresponding sequence of positive numbers that correspond to the eigenvectors and eigenvalues of the map in the Hilbert space case. The lack of orthogonality is partially compensated by the systematic use of polar sets. There are applications to the p-Laplacian and similar nonlinear partial differential equations. Preliminary material is presented in the first chapter, the main results being established in Chapter 2. The final chapter is devoted to the problems encountered when trying to represent non-compact maps.
650 # 0 $a Linear operators. $3 576799
650 # 0 $a Compact operators. $3 2070397
650 # 0 $a Banach spaces. $3 579190
700 1 # $a Evans, William D. $3 2070396