A solution of the abstract Dirichlet problem for Baire-one functions
J Spurný, OFK Kalenda - Journal of Functional Analysis, 2006 - Elsevier
Journal of Functional Analysis, 2006•Elsevier
… 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. © 2005 Elsevier Inc. All rights reserved. … In the present paper,
we give a complete solution of the analogous question for Baire-one functions (a function is
Baire-one if it is a pointwise limit of a sequence of continuous functions). Let us briefly recall
the history of this question. It has been known for a long time that any bounded Baire-one …
affine Baire-one function on X if and only if X is a Choquet simplex and ext X satisfies a
certain topological property. © 2005 Elsevier Inc. All rights reserved. … In the present paper,
we give a complete solution of the analogous question for Baire-one functions (a function is
Baire-one if it is a pointwise limit of a sequence of continuous functions). Let us briefly recall
the history of this question. It has been known for a long time that any bounded Baire-one …
Let X be a compact convex subset of a locally convex space. We show that any bounded Baire-one function defined on extX can be extended to an affine Baire-one function on X if and only if X is a Choquet simplex and extX satisfies a certain topological property.
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