ISOMORPHISMS OF SPACES OF AFFINE CONTINUOUS COMPLEX FUNCTIONS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10408163" target="_blank" >RIV/00216208:11320/19:10408163 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=-FWVDVdWRa" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=-FWVDVdWRa</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7146/math.scand.a-114989" target="_blank" >10.7146/math.scand.a-114989</a>

Result language
angličtina
Original language name
ISOMORPHISMS OF SPACES OF AFFINE CONTINUOUS COMPLEX FUNCTIONS
Original language description
Let X and Y be compact convex sets such that their each extreme point is a weak peak point. We show that ext X is homeomorphic to ext Y provided there exists a small-bound isomorphism of the space A(X, C) of continuous affine complex functions on X onto A(Y, C). Further, we generalize a result of Cengiz to the context of compact convex sets.
Czech name
—
Czech description
—

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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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