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)
Resource Information
The item Representations of linear operators between Banach spaces, David E. Edmunds, W. Desmond Evans, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Representations of linear operators between Banach spaces, David E. Edmunds, W. Desmond Evans, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 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 pLaplacian 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 noncompact maps
 Language
 eng
 Extent
 1 online resource (xi, 152 pages)
 Contents

 Preliminaries
 Representation of compact linear operators
 Representation of bounded linear operators
 Isbn
 9783034806428
 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
 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 pLaplacian 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 noncompact maps
 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)
 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
 10.1007/9783034806428
 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)
 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
 10.1007/9783034806428
 Other physical details
 color illustration.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Representationsoflinearoperatorsbetween/IlgI9Byv_B0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Representationsoflinearoperatorsbetween/IlgI9Byv_B0/">Representations of linear operators between Banach spaces, David E. Edmunds, W. Desmond Evans, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>