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A general continuity principle. (English) Zbl 0562.31008

In the paper in Czech. Math. J. 25(100), 309-316 (1975; Zbl 0309.31019) I. Netuka proved a generalization of the Evans-Vasilesco theorem to the setting of harmonic spaces. The result implies in particular that the result of Evans-Vasilesco holds for signed measures with compact support. The present paper contains a generalization to convex cones of continuous functions on a locally compact space, the method of proof being the Hahn- Banach theorem.
Reviewer: C.Berg

MSC:

31C15 Potentials and capacities on other spaces
31D05 Axiomatic potential theory
31B15 Potentials and capacities, extremal length and related notions in higher dimensions
46A55 Convex sets in topological linear spaces; Choquet theory

Citations:

Zbl 0309.31019
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