In Asplund spaces, approximately convex functions and regular functions are generically differentiable
Résumé
We prove that an approximately convex function on an open subset of an Asplund space is generically Fréchet differentiable, as are genuine convex functions. Thus, we give a positive answer to a question raised by S. Rolewicz. We also prove a more general result of that type for regular functions on an open subset of an Asplund space.
Origine : Fichiers produits par l'(les) auteur(s)
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