Locally uniformly convex norms in Banach spaces and their duals

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117951It is shown that a Banach space with locally uniformly convex dual admits an equivalent norm which is itself locally uniformly convex. It follows that on any such space all continuous real-valued functions may be uniformly approximated by C^1 functions.The abstract has now been correctedFunctional AnalysisGeneral Topology46B20Locally uniformly convex norms in Banach spaces and their dualstext