Lemme de Fatou pour l’integrale de Pettis

Abstract

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 convex compact sets of a separable Banach space.

Locations

• Publicacions Matemàtiques - View
• LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) - View - PDF