- Tytuł:
- A theorem of the Hahn-Banach type and its applications
- Autorzy:
-
Gajda, Zbigniew
Smajdor, Andrzej
Smajdor, Wilhelmina - Tematy:
-
Hahn-Banach theorem
additive selection
subadditive set-valued function
binary intersection property
stability of functional equations - Pokaż więcej
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Powiązania:
- https://bibliotekanauki.pl/articles/1311972.pdf Link otwiera się w nowym oknie
- Opis:
- Let Y be a subgroup of an abelian group X and let T be a given collection of subsets of a linear space E over the rationals. Moreover, suppose that F is a subadditive set-valued function defined on X with values in T. We establish some conditions under which every additive selection of the restriction of F to Y can be extended to an additive selection of F. We also present some applications of results of this type to the stability of functional equations.
- Dostawca treści:
- Biblioteka Nauki
Artykuł