NDLI: The version for compact operators of Lindenstrauss properties A and B

Content Provider	Springer Nature Link
Author	Martín, Miguel
Copyright Year	2015
Abstract	It has been very recently discovered that there are compact linear operators between Banach spaces which cannot be approximated by norm attaining operators. The aim of this expository paper is to give an overview of those examples and also of sufficient conditions ensuring that compact linear operators can be approximated by norm attaining operators. To do so, we introduce the analogues for compact operators of Lindenstrauss properties A and B.
Starting Page	269
Ending Page	284
Page Count	16
File Format	PDF
ISSN	15787303
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
Volume Number	110
Issue Number	1
e-ISSN	15791505
Language	English
Publisher	Springer Milan
Publisher Date	2015-02-18
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Banach space Norm attaining operators Compact operators Approximation property Strict convexity Isometric theory of Banach spaces Geometry and structure of normed linear spaces Banach sequence spaces Spaces of operators; tensor products; approximation properties Operators defined by compactness properties Mathematics Applications of Mathematics Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Geometry and Topology Applied Mathematics Algebra and Number Theory Analysis Computational Mathematics

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The version for compact operators of Lindenstrauss properties A and B