Displaying similar documents to “Suites uniformément distribuées et fonctions faiblement presque-périodiques”

Lemme de Fatou pour l'intégrale de Pettis.

Allal Amrani (1998)

Publicacions Matemàtiques

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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 for a sequence of convex weak compact valued Pettis integrable multifunctions. We prove as well a Lebesgue theorem for a sequence of Pettis integrable multifunctions with values in the space of...