- Tytuł:
- A theorem of the Hahn-Banach type and its applications
- Autorzy:
-
Gajda, Zbigniew
Smajdor, Andrzej
Smajdor, Wilhelmina - Powiązania:
- https://bibliotekanauki.pl/articles/1311972.pdf
- Data publikacji:
- 1992
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Hahn-Banach theorem
additive selection
subadditive set-valued function
binary intersection property
stability of functional equations - 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.
- Źródło:
-
Annales Polonici Mathematici; 1992, 57, 3; 243-252
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł