Representations of Linear Operators Between Banach Spaces Hardcover - 2013
by David E. Edmunds; W. Desmond Evans
From the rear cover
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.
Details
- Title Representations of Linear Operators Between Banach Spaces
- Author David E. Edmunds; W. Desmond Evans
- Binding Hardcover
- Edition 20First3
- Pages 152
- Volumes 1
- Language ENG
- Publisher Birkhauser
- Date 2013-09-13
- Illustrated Yes
- Features Illustrated, Maps
- ISBN 9783034806411 / 3034806418
- Weight 0.8 lbs (0.36 kg)
- Dimensions 9.2 x 6.2 x 0.6 in (23.37 x 15.75 x 1.52 cm)
- Dewey Decimal Code 515.353
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Representations of Linear Operators Between Banach Spaces (Operator Theory: Advances and Applications, 238)
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