Affine Baire-one functions on Choquet simplexes

DOI10.1017/S0004972700038211zbMath1075.46005OpenAlexW2109836114MaRDI QIDQ4677995

Jiří Spurný

Publication date: 23 May 2005

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700038211

zbMATH Keywords

Choquet boundarysimplexBaire-one function

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items

A solution of the abstract Dirichlet problem for Baire-one functions ⋮ Baire classes of affine vector-valued functions ⋮ On the Dirichlet problem of extreme points for non-continuous functions ⋮ Affine Baire functions on Choquet simplices ⋮ On lattice structure of the space of pointwise limits of harmonic functions ⋮ Extending Baire-one functions on topological spaces

Cites Work

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• Fonctions convexes de première classe.
• The Dirichlet Problem for Harmonic Functions
• Spaces of Affine Continuous Functions on Simplexes

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