Completely superharmonic measures for the infinitesimal generator A of a diffusion semi-group and positive eigen elements of A

Abstract

Let X be a locally compact Hausdorff space with countable basis. We denote byM(X) the topological vector space of all real Radon measures in X with the vague topology,MK(X) the topological vector space of all real Radon measures in X whose supports are compact with the usual inductive limit topology.