Radon–Nikodým Theorems for Multimeasures in Non-Separable Spaces
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013) no. 1, pp. 7-24
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We prove two Radon–Nikodým theorems for multimeasures using set-valued Pettis integrable derivatives. The first one works for dominated strong multimeasures taking convex compact values in a locally convex space. The second one works for strong multimeasures taking bounded convex closed values in a Banach space with the RNP (and for Bochner integral of the Radon–Nikodým derivative as well). The main advantage of our results is the absence of any separability assumptions.
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B. Cascales; V. Kadets; J. Rodríguez. Radon–Nikodým Theorems for Multimeasures in Non-Separable Spaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013) no. 1, pp. 7-24. http://geodesic.mathdoc.fr/item/JMAG_2013_9_1_a1/

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