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Description
  • If E is a Banach space, any element x** in its bidual E** is an affine function on the dual unit ball B-E* that might possess a variety of descriptive properties with respect to the weak* topology. We prove several results showing that descriptive properties of x** are quite often determined by the behaviour of x** on the set of extreme points of B-E*, generalizing thus results of J. Saint Raymond and F. Jellett. We also prove a result on the relation between Baire classes and intrinsic Baire classes of L-1-preduals which were introduced by S. A. Argyros, G. Godefroy and H. P. Rosenthal (2003). Also, several examples witnessing natural limits of our positive results are presented.
  • If E is a Banach space, any element x** in its bidual E** is an affine function on the dual unit ball B-E* that might possess a variety of descriptive properties with respect to the weak* topology. We prove several results showing that descriptive properties of x** are quite often determined by the behaviour of x** on the set of extreme points of B-E*, generalizing thus results of J. Saint Raymond and F. Jellett. We also prove a result on the relation between Baire classes and intrinsic Baire classes of L-1-preduals which were introduced by S. A. Argyros, G. Godefroy and H. P. Rosenthal (2003). Also, several examples witnessing natural limits of our positive results are presented. (en)
Title
  • Descriptive properties of elements of biduals of Banach spaces
  • Descriptive properties of elements of biduals of Banach spaces (en)
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  • Descriptive properties of elements of biduals of Banach spaces
  • Descriptive properties of elements of biduals of Banach spaces (en)
skos:notation
  • RIV/00216208:11320/12:10127326!RIV13-GA0-11320___
http://linked.open...avai/riv/aktivita
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  • P(GA201/07/0388), S
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  • 1
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  • 130230
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  • RIV/00216208:11320/12:10127326
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  • Baire classes and intrinsic Baire classes of Banach spaces; L-1-preduals; extreme points; fragmentable functions; strongly affine functions; Baire and Borel functions (en)
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  • PL - Polská republika
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  • [01C39D0243EE]
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  • Studia Mathematica
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  • 209
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  • Spurný, Jiří
  • Ludvík, Pavel
http://linked.open...ain/vavai/riv/wos
  • 000306256000006
issn
  • 0039-3223
number of pages
http://bibframe.org/vocab/doi
  • 10.4064/sm209-1-6
http://localhost/t...ganizacniJednotka
  • 11320
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