Résumé : We will study the Banach spaces which satisfy the property that every weakly-C^1 function f :[0,1] \to X admits a point of norm-differentiability.
This class was introduced by Bachir and Lancien who showed that RNP and Schur spaces belong within, while c_0 does not. In this talk, based on an ongoing joint work with Triinu Veeorg, we will try to narrow the class further down.
