Non-compact versions of Edwards' Theorem

TL;DR

This paper extends Edwards' Theorem to non-compact settings, establishing duality between convex cones of functions and Jensen measures without the compactness assumption.

Contribution

It provides the first non-compact generalization of Edwards' Theorem, broadening its applicability in functional analysis.

Findings

Proved duality in non-compact spaces

Extended the class of cones covered by Edwards' Theorem

Established new relationships between functions and Jensen measures

Abstract

Edwards' Theorem establishes duality between a convex cone in the space of continuous functions on a compact space and the set of representing or Jensen measures for this cone. In this paper we prove non-compact versions of this theorem.