Resumen de On Gâteaux Differentiability of Convex Functions in WCG Spaces

Jan Rychtár

• It is shown, using the Borwein¿Preiss variational principle that for every continuous convex function f on a weakly compactly generated space X, every x0 ? X and every weakly compact convex symmetric set K such that \cspan K = X, there is a point of Gâteaux differentiability of f in x0 + K. This extends a Klee's result for separable spaces.