Abstract
In this paper, we present a Carathéodory-Hahn-Kluvánek-type theorem for a multimeasure H:A→cwk(X) on A, where A is an algebra of subsets of a set Ω and cwk(X) is the family of all convex weakly compact nonempty subsets of a non-separable locally convex topological vector space X. Applying extension results for additive multimeasures, it will be proved a Radon-Nikodým theorem for an additive multimeasure in terms of “nonempty weakly density”.
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