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THE DIRICHLET PROBLEM FOR BAIRE-TWO FUNCTIONS ON SIMPLICES

Part of: Topological linear spaces and related structures

Published online by Cambridge University Press:  26 February 2009

JIŘÍ SPURNÝ
JIŘÍ SPURNÝ*
Affiliation:
Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic (email: spurny@karlin.mff.cuni.cz)
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Abstract

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We show that solvability of the abstract Dirichlet problem for Baire-two functions on a simplex X cannot be characterized by topological properties of the set of extreme points of X.

Keywords

simplexstrongly affine functionsbarycentric formulaBaire-two functions

MSC classification

Secondary: 46A55: Convex sets in topological linear spaces; Choquet theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 2 , April 2009 , pp. 285 - 297
Copyright
Copyright © Australian Mathematical Society 2009

Footnotes

The work is a part of the research project MSM 0021620839 financed by MSMT and partly supported by the grants GA ČR 201/06/0018 and GA ČR 201/07/0388.

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