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


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


Zbl 0309.31019
Full Text: EuDML