The Resource A Nonlinear Transfer Technique for Renorming, by Aníbal Moltó, José Orihuela, Stanimir Troyanski, Manuel Valdivia, (electronic resource)

A Nonlinear Transfer Technique for Renorming, by Aníbal Moltó, José Orihuela, Stanimir Troyanski, Manuel Valdivia, (electronic resource)

Label
A Nonlinear Transfer Technique for Renorming
Title
A Nonlinear Transfer Technique for Renorming
Statement of responsibility
by Aníbal Moltó, José Orihuela, Stanimir Troyanski, Manuel Valdivia
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • 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
Is Subseries of
http://library.link/vocab/creatorName
Moltó, Aníbal
Dewey number
516.36
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • I2rQ45a7PJc
  • zZTj0y32YgU
  • bawsMtBR-RY
  • Ea84-4vl5j8
Image bit depth
0
Language note
English
LC call number
QA641-670
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Orihuela, José.
  • Troyanski, Stanimir.
  • Valdivia, Manuel.
Series statement
Lecture Notes in Mathematics,
Series volume
1951
http://library.link/vocab/subjectName
  • Global differential geometry
  • Functional analysis
  • Differential Geometry
  • Functional Analysis
Label
A Nonlinear Transfer Technique for Renorming, by Aníbal Moltó, José Orihuela, Stanimir Troyanski, Manuel Valdivia, (electronic resource)
Instantiates
Publication
Note
ISSN 0075-8434 for print edition
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
?-Continuous and Co-?-continuous Maps -- Generalized Metric Spaces and Locally Uniformly Rotund Renormings -- ?-Slicely Continuous Maps -- Some Applications -- Some Open Problems
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (XI, 148 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540850311
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-540-85031-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000546308
  • (SSID)ssj0000447003
  • (PQKBManifestationID)11268015
  • (PQKBTitleCode)TC0000447003
  • (PQKBWorkID)10504819
  • (PQKB)11568267
  • (DE-He213)978-3-540-85031-1
  • (MiAaPQ)EBC3063555
  • (EXLCZ)991000000000546308
Label
A Nonlinear Transfer Technique for Renorming, by Aníbal Moltó, José Orihuela, Stanimir Troyanski, Manuel Valdivia, (electronic resource)
Publication
Note
ISSN 0075-8434 for print edition
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
?-Continuous and Co-?-continuous Maps -- Generalized Metric Spaces and Locally Uniformly Rotund Renormings -- ?-Slicely Continuous Maps -- Some Applications -- Some Open Problems
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (XI, 148 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540850311
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-540-85031-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000546308
  • (SSID)ssj0000447003
  • (PQKBManifestationID)11268015
  • (PQKBTitleCode)TC0000447003
  • (PQKBWorkID)10504819
  • (PQKB)11568267
  • (DE-He213)978-3-540-85031-1
  • (MiAaPQ)EBC3063555
  • (EXLCZ)991000000000546308

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