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020 a| 9783034806411 (alk. paper);

020 a| 3034806418 (alk. paper);

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049 a| EREEa| NEHH;

050 00 a| QA329.2b| .E324 2013;

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100 1 a| Edmunds, D. E.q| (David Eric)=| ^A211441;

245 10 a| Representations of linear operators between Banach spacesh| [electronic resource] /c| David E. Edmunds, W. Desmond Evans.;

260 a| Basel ;a| New York :b| Birkhäuser,c| [2013];

300 a| xi, 152 pages ;c| 24 cm.;

504 a| Includes bibliographical references and index.;

505 0 a| Basic notation -- 1. Preliminaries -- 2. Representation of compact linear operators -- 3. Representation of bounded linear operators.;

506 a| Available only to authorized users.;

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 --c| Source other than Library of Congress.;

538 a| Mode of access: World Wide Web;

650 0 a| Linear operators.=| ^A27191;

650 0 a| Compact operators.=| ^A227852;

650 0 a| Banach spaces.=| ^A53770;

650 7 a| Banach spaces.2| fast;

650 7 a| Compact operators.2| fast;

650 7 a| Linear operators.2| fast;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Evans, W. D.q| (William Desmond)=| ^A211443;

856 40 z| Full text available from Springer Booksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-0348-0642-8;

856 40 z| Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2013 English Internationalu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-0348-0642-8;

947 a| (OCoLC)ocn840463728;

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Representations of linear operators between Banach spaces / David E. Edmunds, W. Desmond Evans.

Author/creator	Edmunds, D. E.
Other author	Evans, W. D. (William Desmond)
Format	Electronic
Publication Info	Basel ; New York : Birkhäuser, [2013]
Description	xi, 152 pages ; 24 cm.
Supplemental Content	Full text available from Springer Books
Supplemental Content	Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2013 English International
Subjects	Linear operators. Compact operators. Banach spaces.

Contents	Basic notation -- 1. Preliminaries -- 2. Representation of compact linear operators -- 3. Representation of bounded linear operators.
Summary	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 -- Source other than Library of Congress.
Bibliography note	Includes bibliographical references and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2013948130
ISBN	9783034806411 (alk. paper)
ISBN	3034806418 (alk. paper)

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Representations of linear operators between Banach spaces / David E. Edmunds, W. Desmond Evans.

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