A continuous version of Liapunov’s convexity theorem
Giovanni Colombo
International School for Advanced Studies (S.I.S.S.A.), Trieste, ItalyAlessandro Fonda
International School for Advanced Studies (S.I.S.S.A.), Trieste, ItalyArrigo Cellina
International School for Advanced Studies (S.I.S.S.A.), Trieste, Italy
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Abstract
Given a continuous map , from a compact metric space into the space of nonatomic measures on , we show the existence of a family , increasing in and continuous in , such that
Résumé
Étant donnée une application continue , d’un espace métrique compact dans l’espace des mesures nonatomiques sur , nous montrons l’existence d’une famille , croissante avec et continue en , telle que
Cite this article
Giovanni Colombo, Alessandro Fonda, Arrigo Cellina, A continuous version of Liapunov’s convexity theorem. Ann. Inst. H. Poincaré Anal. Non Linéaire 5 (1988), no. 1, pp. 23–36
DOI 10.1016/S0294-1449(16)30353-5