On fragmented convex functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10422017" target="_blank" >RIV/00216208:11320/20:10422017 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=51czu-3DO4" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=51czu-3DO4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2019.123757" target="_blank" >10.1016/j.jmaa.2019.123757</a>

Result language
angličtina
Original language name
On fragmented convex functions
Original language description
Let X be a compact convex set and let ext X stand for the set of extreme points of X. Let f : X -> R be a bounded convex function with the point of continuity property. The first main result shows that f <= 0 on X provided f <= 0 on ext X. As a byproduct of our method we generalize a result of Raja. Next we show that a resolvable convex semi-extremal nonempty set in X intersects ext X. Finally we prove a Phelps maximum principle for abstract affine functions defined on a locally compact topological space. (C) 2019 Elsevier Inc. All rights reserved.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA17-00941S" target="_blank" >GA17-00941S: Topological and geometrical properties of Banach spaces and operator algebras II</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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