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Representations of linear operators ...
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Edmunds, D. E.
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Representations of linear operators between Banach spaces /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Representations of linear operators between Banach spaces // David E. Edmunds, W. Desmond Evans.
作者:
Edmunds, D. E.
其他作者:
Evans, William D.
出版者:
Basel ;Birkhäuser/Springer, : 2013.,
面頁冊數:
xi, 152 p. :ill ;24 cm.
標題:
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
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Representations of linear operators between Banach spaces /
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David E. Edmunds, W. Desmond Evans.
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Birkhäuser/Springer,
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2013.
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xi, 152 p. :
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ill ;
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24 cm.
504
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Includes bibliographical references and index.
505
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Basic notation --
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Preliminaries --
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Representation of compact linear operators --
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Representation of bounded linear operators.
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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
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$a
Linear operators.
$3
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Compact operators.
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Banach spaces.
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Evans, William D.
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2070396
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