A solution of the abstract Dirichlet problem for Baire-one functions
| Autor: | Jiří Spurný, Ondřej F. K. Kalenda |
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| Rok vydání: | 2006 |
| Předmět: |
Convex analysis
Convex hull Pure mathematics 010102 general mathematics Mathematical analysis Proper convex function Convex set Mathematics::General Topology The set of extreme points Subderivative Choquet theory 01 natural sciences 010101 applied mathematics Strictly convex space Mathematics::Logic Affine Baire-one function Locally compact space 0101 mathematics Analysis Mathematics Choquet simplex Lindelöf H-set |
| Zdroj: | Journal of Functional Analysis. 232(2):259-294 |
| ISSN: | 0022-1236 |
| DOI: | 10.1016/j.jfa.2005.08.003 |
| Popis: | Let X be a compact convex subset of a locally convex space. 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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