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  • We study the possibility of extending any bounded Baire-one function on the set of extreme points of a compact convex set to an affine Baire-one function and related questions. We give complete solutions to these questions within a class of Choquet simplicies introduced by P.J.Stacey (1979). In particular we get an example of a Choquet simplex such that its set of extreme points is not Borel but any bounded Baire-one function on the set of extreme points can be extended to an affine Baire-one function. We also study the analogous questions for functions of higher Baire classes
  • We study the possibility of extending any bounded Baire-one function on the set of extreme points of a compact convex set to an affine Baire-one function and related questions. We give complete solutions to these questions within a class of Choquet simplicies introduced by P.J.Stacey (1979). In particular we get an example of a Choquet simplex such that its set of extreme points is not Borel but any bounded Baire-one function on the set of extreme points can be extended to an affine Baire-one function. We also study the analogous questions for functions of higher Baire classes (en)
  • Abstraktní Dirichletův problém pro funkce první Baireovy třídy je vyřešen v rámci Staceyho simplexů. Analogické výsledky jsou dokázány pro funkce vyšších tříd. (cs)
Title
  • Remark on the abstract Dirichlet problem for Baire-one functions
  • Remark on the abstract Dirichlet problem for Baire-one functions (en)
  • Poznámka o abstraktním Dirichletově problému pro funkce první Baireovy třídy (cs)
skos:prefLabel
  • Remark on the abstract Dirichlet problem for Baire-one functions
  • Remark on the abstract Dirichlet problem for Baire-one functions (en)
  • Poznámka o abstraktním Dirichletově problému pro funkce první Baireovy třídy (cs)
skos:notation
  • RIV/00216208:11320/05:00001395!RIV06-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 55;73
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/03/0933), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...dnocenehoVysledku
  • 540733
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/05:00001395
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Remark; abstract; Dirichlet; problem; Baire-one; functions (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [C8A561E870AD]
http://linked.open...i/riv/nazevZdroje
  • Bulletin of the Polish Academy of Sciences. Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 53
http://linked.open...iv/tvurceVysledku
  • Kalenda, Ondřej
http://linked.open...n/vavai/riv/zamer
issn
  • 0239-7269
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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