Local affine selections of convex set-valued functions

Autor:	Szymon Wąsowicz
Rok vydání:	2019
Předmět:	010101 applied mathematics Combinatorics General Mathematics 010102 general mathematics Convex set Affine transformation 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Georgian Mathematical Journal. 26:621-624
ISSN:	1572-9176 1072-947X
DOI:	10.1515/gmj-2019-2062
Popis:	It is well known that not every convex set-valued function admits an affine selection. One could ask whether there exists at least one local affine selection. The answer is positive in the finite-dimensional case. The main part of the note comprises two examples of the non-existence of local affine selections of convex set-valued functions defined on certain infinite-dimensional Banach spaces.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::095ca7372e58b708d472924a0c251ebe https://doi.org/10.1515/gmj-2019-2062 Zobrazit plný text záznamu