Mari\'an Fabian, Petr H\'ajek, V\'aclav Zizler
A note on lattice renormings

Comment.Math.Univ.Carolinae 38,2 (1997) 263-272.

Abstract:It is shown that every strongly lattice norm on $c_0(\Gamma )$ can be approximated by $C^\infty $ smooth norms. We also show that there is no lattice and G\^ateaux differentiable norm on $C_0[0,\omega _1]$.

Keywords: smooth norms, approximation, lattice norms, $c_0(\Gamma )$, $C_0[0,\omega _1]$
AMS Subject Classification: 46B03, 46B20