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The intersection convolution of relations and the Hahn-Banach type theorems

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Száz Á.

Annales Polonici Mathematici

1998

tom 69

nr 3

235-249

By introducing the intersection convolution of relations, we prove a natural generalization of an extension theorem of B. Rodrí guez-Salinas and L. Bou on linear selections which is already a substantial generalization of the classical Hahn-Banach theorems. In particular, we give a simple neccesary and sufficient condition in terms of the intersection convolution of a homogeneous relation and its partial linear selections in order that every partial linear selection of this relation can have an extension to a total linear selection.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Száz Á.

1 1998

Wyniki wyszukiwania

The intersection convolution of relations and the Hahn-Banach type theorems