A dual characterisation of the Radon-Nikodym property
Bachir, Mohammed ; Daniilidis, Aris
HAL, hal-01183280 / Harvested from HAL
Text on HAL
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 $X$.
Publié le : 2000-07-04
Classification:  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] 
@article{hal-01183280,
     author = {Bachir, Mohammed and Daniilidis, Aris},
     title = {A dual characterisation of the Radon-Nikodym property},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01183280}
}

Bachir, Mohammed; Daniilidis, Aris. A dual characterisation of the Radon-Nikodym property. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-01183280/