"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 . "\u0158e\u0161en\u00ED Dirichletovy \u00FAlohy pro funkce prvn\u00ED Baireovy t\u0159\u00EDdy"@cs . "RIV/00216208:11320/06:00002441" . "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." . "solution; abstract; Dirichlet; problem; Baire-one; functions"@en . . . "A solution of the abstract Dirichlet problem for Baire-one functions"@en . "Journal of Functional Analysis" . . . . "463841" . "A solution of the abstract Dirichlet problem for Baire-one functions"@en . . "Spurn\u00FD, Ji\u0159\u00ED" . "2"^^ . "A solution of the abstract Dirichlet problem for Baire-one functions" . . "Kalenda, Ond\u0159ej" . . . . . "2" . . "0022-1236" . "2"^^ . . "\u0158e\u0161en\u00ED Dirichletovy \u00FAlohy pro funkce prvn\u00ED Baireovy t\u0159\u00EDdy"@cs . . . "[ACECDFECB889]" . . "RIV/00216208:11320/06:00002441!RIV07-MSM-11320___" . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . . "P(GA201/03/0931), P(GA201/03/0935), P(GP201/03/D120), Z(MSM0021620839)" . . . "259;294" . . "Je uk\u00E1z\u00E1no, \u017Ee ka\u017Ed\u00E1 omezen\u00E1 funkce prvn\u00ED t\u0159\u00EDdy na extrem\u00E1ln\u00EDch bodech $X$ lze roz\u0161\u00ED\u0159it na afinn\u00ED funkci prvn\u00ED t\u0159\u00EDdy pr\u00E1v\u011B tehdy, kdy\u017E $X$ je simplex a $\\ext X$ spl\u0148uj\u00ED jistou topologickou podm\u00EDnku."@cs . . "36"^^ . "A solution of the abstract Dirichlet problem for Baire-one functions" . "232" . "11320" .