%0 Journal Article %T A dual characterisation of the Radon-Nikodym property %+ Equations d'evolution %+ Departament de Matemàtiques [Barcelona] (UAB) %A Bachir, Mohammed %A Daniilidis, Aris %< avec comité de lecture %@ 0004-9727 %J Bulletin of the Australian Mathematical Society %I John Loxton University of Western Sydney|Australia %V 62 %P 379-387 %8 2000 %D 2000 %Z Mathematics [math]/Functional Analysis [math.FA]Journal articles %X We prove that a Banach space $X$ has the Radon-Nikodym property if, and only if, every weak*-lower semicontinuous convex continuous function $f $ of $X^*$ is Gâteaux differentiable at some point of its domain with derivative in the predual space $X$. %G English %L hal-01183280 %U https://paris1.hal.science/hal-01183280 %~ UNIV-PARIS1 %~ SAMOS %~ INSMI %~ SAMM