Coverart for item
The Resource A nonlinear transfer technique for renorming, Aníbal Moltó [and others]

A nonlinear transfer technique for renorming, Aníbal Moltó [and others]

Label
A nonlinear transfer technique for renorming
Title
A nonlinear transfer technique for renorming
Statement of responsibility
Aníbal Moltó [and others]
Contributor
Subject
Language
eng
Summary
Abstract topological tools from generalized metric spaces are applied in this volume to the construction of locally uniformly rotund norms on Banach spaces. The book offers new techniques for renorming problems, all of them based on a network analysis for the topologies involved inside the problem. Maps from a normed space X to a metric space Y, which provide locally uniformly rotund renormings on X, are studied and a new frame for the theory is obtained, with interplay between functional analysis, optimization and topology using subdifferentials of Lipschitz functions and covering methods of metrization theory. Any one-to-one operator T from a reflexive space X into c0 (T) satisfies the authors' conditions, transferring the norm to X. Nevertheless the authors' maps can be far from linear, for instance the duality map from X to X* gives a non-linear example when the norm in X is Fréchet differentiable. This volume will be interesting for the broad spectrum of specialists working in Banach space theory, and for researchers in infinite dimensional functional analysis
Member of
Cataloging source
GW5XE
Dewey number
514/.325
Illustrations
illustrations
Index
index present
Language note
English
LC call number
  • QA3
  • QA611.28
LC item number
  • .L28 no.1951eb
  • .N66 2009eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Moltó, Aníbal
Series statement
Lecture notes in mathematics,
Series volume
1951
http://library.link/vocab/subjectName
  • Metric spaces
  • Continuum (Mathematics)
  • Mappings (Mathematics)
  • Espaces métriques
  • Continu (Mathématiques)
  • Applications (Mathématiques)
  • Continuum (Mathematics)
  • Mappings (Mathematics)
  • Metric spaces
  • Continuum (Mathematics)
  • Mappings (Mathematics)
  • Metric spaces
  • Nichtlineare Abbildung
  • Banach-Raum
Label
A nonlinear transfer technique for renorming, Aníbal Moltó [and others]
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 131-139) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Sigma-continuous and Co-sigma continuous maps -- 3. Generalized metric spaces and Locally Uniformly Rotund Renormings -- 4. Sigma-slicely continuous maps -- 5. Some Applications -- 6. Some Open Problems -- References, Index, and List of Symbols
Control code
310353446
Dimensions
unknown
Extent
1 online resource (xi, 142 pages)
Form of item
online
Isbn
9783540850311
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-85031-1
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-85030-4
Publisher number
12447404
Specific material designation
remote
System control number
(OCoLC)310353446
Label
A nonlinear transfer technique for renorming, Aníbal Moltó [and others]
Publication
Bibliography note
Includes bibliographical references (pages 131-139) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Sigma-continuous and Co-sigma continuous maps -- 3. Generalized metric spaces and Locally Uniformly Rotund Renormings -- 4. Sigma-slicely continuous maps -- 5. Some Applications -- 6. Some Open Problems -- References, Index, and List of Symbols
Control code
310353446
Dimensions
unknown
Extent
1 online resource (xi, 142 pages)
Form of item
online
Isbn
9783540850311
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-85031-1
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-85030-4
Publisher number
12447404
Specific material designation
remote
System control number
(OCoLC)310353446

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      38.944491 -92.326012
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