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



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Autore: Edmunds D. E (David Eric) Visualizza persona
Titolo: Representations of linear operators between Banach spaces / / by David E. Edmunds, W. Desmond Evans Visualizza cluster
Pubblicazione: Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2013
Edizione: 1st ed. 2013.
Descrizione fisica: 1 online resource (164 p.)
Disciplina: 004
515.7/246
515.7246
Soggetto topico: Operator theory
Partial differential equations
Operator Theory
Partial Differential Equations
Persona (resp. second.): EvansW. Desmond
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 1 Preliminaries -- 2 Representation of compact linear operators -- 3 Representation of bounded linear operators.
Sommario/riassunto: 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.
Titolo autorizzato: Representations of linear operators between Banach spaces  Visualizza cluster
ISBN: 3-0348-0642-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910739431803321
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Serie: Operator Theory: Advances and Applications, . 0255-0156 ; ; 238