Abstract
We prove that for suitable convex subsets B of a locally convex space, B has the Radon Nikodym property if and only if Bℕ has the integral representation property (i.e. the generalization of Choquet's theorem is valid for all closed convex subsets of Bℕ). Analogous results are obtained for conuclear cones.
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© 1980 Springer-Verlag
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Thomas, E.G.F. (1980). A converse to Edgar's theorem. In: Kölzow, D. (eds) Measure Theory Oberwolfach 1979. Lecture Notes in Mathematics, vol 794. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088247
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DOI: https://doi.org/10.1007/BFb0088247
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