A Variational McShane Characterization of Locally Convex Spaces Possessing the Radon-Nikodym Property

Bush Kaliaj, Sokol

doi:10.2478/tmmp-2014-0003

Abstract

Abstract We present a characterization of complete locally convex topological vector spaces possessing the Radon-Nikodym property in terms of additive interval functions whose McShane variational measures are absolutely continuous with respect to the Lebesgue measure.

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A Variational McShane Characterization of Locally Convex Spaces Possessing the Radon-Nikodym Property

Abstract

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