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A dual characterisation of the Radon-Nikodym property
Abstract : 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 $X$.
https://hal-paris1.archives-ouvertes.fr/hal-01183280
Contributor : Mohammed Bachir Connect in order to contact the contributor
Submitted on : Friday, August 7, 2015 - 12:28:32 AM
Last modification on : Wednesday, January 26, 2022 - 3:10:52 PM
Contributor : Mohammed Bachir Connect in order to contact the contributor
Submitted on : Friday, August 7, 2015 - 12:28:32 AM
Last modification on : Wednesday, January 26, 2022 - 3:10:52 PM