%0 Journal Article %T Locally uniformly convex norms in Banach spaces and their duals %A Richard Haydon %J Mathematics %D 2006 %I arXiv %X It 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. %U http://arxiv.org/abs/math/0610420v2