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The Resource Representations of linear operators between Banach spaces, David E. Edmunds, W. Desmond Evans, (electronic book)

Representations of linear operators between Banach spaces, David E. Edmunds, W. Desmond Evans, (electronic book)

Label
Representations of linear operators between Banach spaces
Title
Representations of linear operators between Banach spaces
Statement of responsibility
David E. Edmunds, W. Desmond Evans
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Edmunds, D. E.
Dewey number
515/.7246
Illustrations
illustrations
Index
index present
LC call number
QA329.2
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Evans, W. D.
Series statement
Operator theory, advances and applications,
Series volume
v.238
http://library.link/vocab/subjectName
  • Linear operators
  • Banach spaces
  • MATHEMATICS / Calculus
  • MATHEMATICS / Mathematical Analysis
Label
Representations of linear operators between Banach spaces, David E. Edmunds, W. Desmond Evans, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
Color
multicolored
Contents
  • Preliminaries
  • Representation of compact linear operators
  • Representation of bounded linear operators
Control code
SPR858859085
Dimensions
unknown
Extent
1 online resource (xi, 152 pages)
File format
unknown
Form of item
online
Isbn
9783034806428
Level of compression
unknown
Other control number
10.1007/978-3-0348-0642-8
Other physical details
color illustration.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
Label
Representations of linear operators between Banach spaces, David E. Edmunds, W. Desmond Evans, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
Color
multicolored
Contents
  • Preliminaries
  • Representation of compact linear operators
  • Representation of bounded linear operators
Control code
SPR858859085
Dimensions
unknown
Extent
1 online resource (xi, 152 pages)
File format
unknown
Form of item
online
Isbn
9783034806428
Level of compression
unknown
Other control number
10.1007/978-3-0348-0642-8
Other physical details
color illustration.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

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