%0 Journal Article
%T Smooth approximations of norms in separable Banach spaces
%A Petr H¨˘jek
%A Jarno Talponen
%J Mathematics
%D 2011
%I arXiv
%X Let X be a separable real Banach space having a k-times continuously Fr\'{e}chet differentiable (i.e. C^k-smooth) norm where k=1,...,\infty. We show that any equivalent norm on X can be approximated uniformly on bounded sets by C^k-smooth norms.
%U http://arxiv.org/abs/1105.6046v2