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A theorem of the Hahn-Banach type and its applications

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Gajda Z., Smajdor A., Smajdor W.

Annales Polonici Mathematici

1992

tom 57

nr 3

243-252

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Gajda Z.

1 Smajdor A.

1 Smajdor W.

1 1992

Wyniki wyszukiwania

A theorem of the Hahn-Banach type and its applications