Geodesic
A theorem of the Hahn-Banach type and its applications
Annales Polonici Mathematici, Tome 57 (1992) no. 3, pp. 243-252.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-57-3-243-252
Keywords: Hahn-Banach theorem, additive selection, subadditive set-valued function, binary intersection property, stability of functional equations

Zbigniew Gajda 1 ; Andrzej Smajdor 1 ; Wilhelmina Smajdor 1

1 
@article{10_4064_ap_57_3_243_252,
     author = {Zbigniew Gajda and Andrzej Smajdor and Wilhelmina Smajdor},
     title = {A theorem of the {Hahn-Banach} type and its applications},
     journal = {Annales Polonici Mathematici},
     pages = {243--252},
     publisher = {mathdoc},
     volume = {57},
     number = {3},
     year = {1992},
     doi = {10.4064/ap-57-3-243-252},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-57-3-243-252/}
}
TY  - JOUR
AU  - Zbigniew Gajda
AU  - Andrzej Smajdor
AU  - Wilhelmina Smajdor
TI  - A theorem of the Hahn-Banach type and its applications
JO  - Annales Polonici Mathematici
PY  - 1992
SP  - 243
EP  - 252
VL  - 57
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-57-3-243-252/
DO  - 10.4064/ap-57-3-243-252
LA  - en
ID  - 10_4064_ap_57_3_243_252
ER  - 
%0 Journal Article
%A Zbigniew Gajda
%A Andrzej Smajdor
%A Wilhelmina Smajdor
%T A theorem of the Hahn-Banach type and its applications
%J Annales Polonici Mathematici
%D 1992
%P 243-252
%V 57
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-57-3-243-252/
%R 10.4064/ap-57-3-243-252
%G en
%F 10_4064_ap_57_3_243_252
Zbigniew Gajda; Andrzej Smajdor; Wilhelmina Smajdor. A theorem of the Hahn-Banach type and its applications. Annales Polonici Mathematici, Tome 57 (1992) no. 3, pp. 243-252. doi : 10.4064/ap-57-3-243-252. http://geodesic.mathdoc.fr/articles/10.4064/ap-57-3-243-252/

Cité par Sources :