A theorem of the Hahn-Banach type and its applications
Zbigniew Gajda ; Andrzej Smajdor ; Wilhelmina Smajdor
Annales Polonici Mathematici, Tome 57 (1992), p. 243-252 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:275917 
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Zbigniew Gajda; Andrzej Smajdor; Wilhelmina Smajdor. A theorem of the Hahn-Banach type and its applications. Annales Polonici Mathematici, Tome 57 (1992) pp. 243-252. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv57z3p243bwm/

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