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Lemme de Fatou pour l’integrale de Pettis

Lemme de Fatou pour l’integrale de Pettis

The purpose of this paper is to present Fatou type results for a sequence of Pettis integrable functions and multifunctions.We prove the non vacuity of the weak upper limit of a sequence of Pettis integrable functions taking their values in a locally convex space and we deduce a Fatou's lemma …