Non-compact versions of Edwards' theorem

Göğüş, Nihat Gökhan and Perkins, Tony L. and Poletsky, Evgeny A. (2012) Non-compact versions of Edwards' theorem. (Accepted/In Press)

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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.
Item Type: Article
Uncontrolled Keywords: Superlinear functionals · Envelopes · Representing measures · Jensen measures
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Nihat Gökhan Göğüş
Date Deposited: 20 Oct 2012 17:03
Last Modified: 31 Jul 2019 12:04

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