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Description
  • We show that any bounded Baire--one function defined on $\ext X$ can be extended to an affine Baire--one function on $X$ if and only if $X$ is a Choquet simplex and $\ext X$ satisfies a certain topological property.
  • We show that any bounded Baire--one function defined on $\ext X$ can be extended to an affine Baire--one function on $X$ if and only if $X$ is a Choquet simplex and $\ext X$ satisfies a certain topological property. (en)
  • Je ukázáno, že každá omezená funkce první třídy na extremálních bodech $X$ lze rozšířit na afinní funkci první třídy právě tehdy, když $X$ je simplex a $\ext X$ splňují jistou topologickou podmínku. (cs)
Title
  • A solution of the abstract Dirichlet problem for Baire-one functions
  • A solution of the abstract Dirichlet problem for Baire-one functions (en)
  • Řešení Dirichletovy úlohy pro funkce první Baireovy třídy (cs)
skos:prefLabel
  • A solution of the abstract Dirichlet problem for Baire-one functions
  • A solution of the abstract Dirichlet problem for Baire-one functions (en)
  • Řešení Dirichletovy úlohy pro funkce první Baireovy třídy (cs)
skos:notation
  • RIV/00216208:11320/06:00002441!RIV07-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 259;294
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  • P(GA201/03/0931), P(GA201/03/0935), P(GP201/03/D120), Z(MSM0021620839)
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  • 2
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  • 463841
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  • RIV/00216208:11320/06:00002441
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  • solution; abstract; Dirichlet; problem; Baire-one; functions (en)
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  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [ACECDFECB889]
http://linked.open...i/riv/nazevZdroje
  • Journal of Functional Analysis
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http://linked.open...v/svazekPeriodika
  • 232
http://linked.open...iv/tvurceVysledku
  • Kalenda, Ondřej
  • Spurný, Jiří
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-1236
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  • 11320
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