عنوان

Representations of linear operators between Banach spaces /

3034806426 (electronic bk.)

9783034806428 (electronic bk.)

9783034806411

b423345

Representations of linear operators between Banach spaces /

[Book]

David E. Edmunds, W. Desmond Evans

1 online resource (xi, 152 pages) :

color illustration

Operator theory, advances and applications,

v.238

0255-0156 ;

Includes bibliographical references and indexes

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

OhioLINK electronic book center (Online)

SpringerLink

Banach spaces

Linear operators

MAT-- 005000

MAT-- 034000

MAT037000

PBKF

Edmunds, D. E., (David Eric)

Evans, W. D.

Ohio Library and Information Network

20140326083904.0

pn

[Book]

Y