Geodesic
The intersection convolution of relations and the Hahn-Banach type theorems
Annales Polonici Mathematici, Tome 69 (1998) no. 3, pp. 235-249 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap-69-3-235-249
Keywords: intersection convolution, additive and homogeneous relations, linear selections, binary intersection property, Hahn-Banach theorems

Árpád Száz 1

1 
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     title = {The intersection convolution of relations and the {Hahn-Banach} type theorems},
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Árpád Száz. The intersection convolution of relations and the Hahn-Banach type theorems. Annales Polonici Mathematici, Tome 69 (1998) no. 3, pp. 235-249. doi: 10.4064/ap-69-3-235-249

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