Fatou lemma for the Pettis integral.

Allal Amrani

Publicacions Matemàtiques (1998)

  • Volume: 42, Issue: 1, page 67-79
  • ISSN: 0214-1493

Abstract

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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 convex compact sets of a separable Banach space.

How to cite

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Amrani, Allal. "Lemme de Fatou pour l'intégrale de Pettis.." Publicacions Matemàtiques 42.1 (1998): 67-79. <http://eudml.org/doc/41334>.

@article{Amrani1998,
author = {Amrani, Allal},
journal = {Publicacions Matemàtiques},
keywords = {Multifunción; Integrales de Pettis; Teoría del potencial; Pettis integrable functions; multifunctions; Fatou's lemma},
language = {fre},
number = {1},
pages = {67-79},
title = {Lemme de Fatou pour l'intégrale de Pettis.},
url = {http://eudml.org/doc/41334},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Amrani, Allal
TI - Lemme de Fatou pour l'intégrale de Pettis.
JO - Publicacions Matemàtiques
PY - 1998
VL - 42
IS - 1
SP - 67
EP - 79
LA - fre
KW - Multifunción; Integrales de Pettis; Teoría del potencial; Pettis integrable functions; multifunctions; Fatou's lemma
UR - http://eudml.org/doc/41334
ER -

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