The strict topology for the space of Radon measures on a locally compact Hausdorff space

In this paper, we deal with the dual of the measure space M(X) for a locally compact Hausdorff space X under certain locally convex topologies. We first introduce and study a strict topology β(X) on M(X) under which its strong dual can be identified with , the Banach space of all F∈L∞(M(X)) that vanishes at infinity. Under this duality, we investigate some attributes of (M(X),β(X)) as a locally convex space.