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Asplund spaces, Stegall variational principle and the RNP

Abstract : Given a pair of Banach spaces X and Y such that one is the dual of the other, we study the relationships between generic Fréchet differentiability of convex continuous functions on Y (Asplund property), generic existence of linear perturbations for lower semicontinuous functions on X to have a strong minimum (Stegall variational principle), and dentability of bounded subsets of X (Radon-Nikodým Property).
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Contributor : Marc Lassonde <>
Submitted on : Friday, May 4, 2012 - 10:52:33 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM


  • HAL Id : hal-00694604, version 1



Marc Lassonde. Asplund spaces, Stegall variational principle and the RNP. Set-Valued Analysis, Springer Verlag, 2009, 17 (2), pp.183-193. ⟨hal-00694604⟩



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