Non-compact versions of Edwards' Theorem

2010/12/17 by Nihat G. Gogus, Gogus, Nihat G., Tony L. Perkins +3 · 1 citation
Mathematics · #46A20 (Primary) #46A55 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46A20 #msc:46A55

paper · pdf · doi:10.48550/arxiv.1012.3973

arxiv created 2010/12/23 · arxiv updated 2010/12/24

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.

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• Weak Optimal Transport: When is the Dual Potential Convex?

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• Variations on a theorem by Edwards
• Jensen measures in potential theory
• One side James' Compactness Theorem
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• Regular measures of noncompactness and Ascoli-Arzel\` a type compactness criteria in spaces of vector-valued function