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Representations of Linear Operators Between Banach Spaces: 238 (Operator Theory: Advances and Applications, 238) - Tapa dura

Libro 79 de 132: Operator Theory: Advances and Applications

Edmunds, David E.; Evans, W. Desmond

 
9783034806411: Representations of Linear Operators Between Banach Spaces: 238 (Operator Theory: Advances and Applications, 238)
Tapa dura
ISBN 10: 3034806418 ISBN 13: 9783034806411
Editorial: Birkhäuser, 2013

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2013
Idioma
Inglés
ISBN 10 
3034806418
ISBN 13 
9783034806411
Encuadernación
Tapa dura
Número de páginas
152
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