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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F05%3A00001395%21RIV06-MSM-11320___
rdf:type
n15:Vysledek skos:Concept
dcterms:description
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 Abstraktní Dirichletův problém pro funkce první Baireovy třídy je vyřešen v rámci Staceyho simplexů. Analogické výsledky jsou dokázány pro funkce vyšších tříd.
dcterms:title
Poznámka o abstraktním Dirichletově problému pro funkce první Baireovy třídy Remark on the abstract Dirichlet problem for Baire-one functions Remark on the abstract Dirichlet problem for Baire-one functions
skos:prefLabel
Remark on the abstract Dirichlet problem for Baire-one functions Remark on the abstract Dirichlet problem for Baire-one functions Poznámka o abstraktním Dirichletově problému pro funkce první Baireovy třídy
skos:notation
RIV/00216208:11320/05:00001395!RIV06-MSM-11320___
n3:strany
55;73
n3:aktivita
n5:P n5:Z
n3:aktivity
P(GA201/03/0933), Z(MSM0021620839)
n3:cisloPeriodika
1
n3:dodaniDat
n4:2006
n3:domaciTvurceVysledku
n11:8577048
n3:druhVysledku
n18:J
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n12:predkladatel
n3:idSjednocenehoVysledku
540733
n3:idVysledku
RIV/00216208:11320/05:00001395
n3:jazykVysledku
n9:eng
n3:klicovaSlova
Remark; abstract; Dirichlet; problem; Baire-one; functions
n3:klicoveSlovo
n10:functions n10:Dirichlet n10:abstract n10:Baire-one n10:Remark n10:problem
n3:kodStatuVydavatele
PL - Polská republika
n3:kontrolniKodProRIV
[C8A561E870AD]
n3:nazevZdroje
Bulletin of the Polish Academy of Sciences. Mathematics
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n19:GA201%2F03%2F0933
n3:rokUplatneniVysledku
n4:2005
n3:svazekPeriodika
53
n3:tvurceVysledku
Kalenda, Ondřej
n3:zamer
n16:MSM0021620839
s:issn
0239-7269
s:numberOfPages
19
n8:organizacniJednotka
11320