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＜電子ブック＞
Representations of Linear Operators Between Banach Spaces / by David E. Edmunds, W. Desmond Evans
(Operator Theory: Advances and Applications. ISSN:22964878 ; 238)

版	1st ed. 2013.
出版者	(Basel : Springer Basel : Imprint: Birkhäuser)
出版年	2013
本文言語	英語
大きさ	XI, 152 p. 1 illus. in color : online resource
著者標目	*Edmunds, David E author Evans, W. Desmond author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Differential equations FREE:Operator Theory FREE:Differential Equations
一般注記	1 Preliminaries -- 2 Representation of compact linear operators -- 3 Representation of bounded linear operators 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 HTTP:URL=https://doi.org/10.1007/978-3-0348-0642-8

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