ON STRICTLY POSITIVE MEASURES AND STRICTLY CONVEX NORMS
Wojciech Herer · Demonstratio Mathematica · 1982
Given a compact Hausdorff space K, C(K) denotes the Banach space of real-valued continuous functions on K with the usual sup norm, and denote by M(K) the space of all regular finite real-valued Borel measures on K. A measure ^feMU)is called strictly positive if ,u(G) > 0 for all non-empty open G c K. We say that K carries a strictly positive measure if there is a strictly positive measure Me M(K).