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On an inequality of Edgar
Authors:Diana Caponetti
Affiliation:1. Dipartimento di Matematica ed Applicazioni, Via Archirafi, 34, 90123, Palermo
Abstract:LetE′ be the separable dual of a Banach spaceE. LetK be the class of all non-empty convex, weak*-compact subsets ofE′. In this paper we prove that Edgar’s inequality, given in [2], extends to 
$$mathcal{L}^1  - bounded$$
adapted sequences ofK-valued random variables.
Keywords:
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