Representations of Linear Operators Between Banach Spaces

Name: Representations of Linear Operators Between Banach Spaces
SKU: 21027461
Price: 138.99 AUD
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Hardback

Series:

Operator Theory: Advances and Applications

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Description

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.

Release date Australia

September 13th, 2013

Author

Audience

Professional & Vocational

Illustrations

1 Illustrations, color; XI, 152 p. 1 illus. in color.

Pages

152

Series

Operator Theory: Advances and Applications

Dimensions

155x235x15

ISBN-13

9783034806411

Product ID

21027461

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