Nihat G. Gogus (PhD'06), Tony L. Perkins (PhD'11), Evgeny A. Poletsky
Abstract: Edwards’ Theorem establishes duality between a convex cone in the space of continuous functions on a compact space X and the set of representing or Jensen measures for this cone. It is a direct consequence of the description of positive superlinear functionals on C(X). In this paper we obtain the description of such functionals when X is a locally compact σ-compact Hausdorff space. As a consequence we prove non-compact versions of Edwards’ Theorem.
Journal: Positivity 17 (2013), no. 3, 459–473
DOI: 10.1007/s11117-012-0181-9