Un résultat d'existence de sélection mesurable et compacité forte de l'intégrale d'une multiapplication dans un Banach non nécessairement séparable

Summary An existence result of strongly measurable selection of a weakly measurable multifunction from a compact space with non empty convex weakly compact values in a Banach space is given. Some compactness results concerning the set of integrable selections of a weakly measurable multifunction with non empty convex weakly compact values in a weakly compact set of a Banach space and the multivalued integral of such multifunction are presented.