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On the extension of additive functionals on classes of convex sets

On the extension of additive functionals on classes of convex sets

Let Sf be a class of sets and let U(&) denote the class of all finite unions of sets from £f.This paper concerns itself with the question whether a vector valued function on Sf has an additive extension to U(£f).Several characterizations of functions with such an extension property are presented.One …