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The Dirichlet problem for Baire-one functions

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Central European Journal of Mathematics

Abstract

Let X be a compact convex set and let ext X stand for the set of all extreme points of X. We characterize those bounded function defined on ext X which can be extended to an affine Baire-one function on the whole set X.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Jiří Spurný

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  1. Jiří Spurný
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Spurný, J. The Dirichlet problem for Baire-one functions. centr.eur.j.math. 2, 260–271 (2004). https://doi.org/10.2478/BF02476543

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  • DOI: https://doi.org/10.2478/BF02476543

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