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Página principal > Artículos > Artículos publicados > Lemme de Fatou pour l'intégrale de Pettis |
Fecha: | 1998 |
Resumen: | 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. |
Derechos: | Tots els drets reservats. |
Lengua: | Francès |
Documento: | Article ; recerca ; Versió publicada |
Publicado en: | Publicacions matemàtiques, V. 42 n. 1 (1998) p. 67-79, ISSN 2014-4350 |
13 p, 168.3 KB |