Geodesic
A note on lattice renormings
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 263-272

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 $C_0[0,\omega_1]$.
Classification : 46B03, 46B20, 46B26
Keywords: smooth norms; approximation; lattice norms; $c_0(\Gamma)$; $C_0[0, \omega_1]$ 
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     title = {A note on lattice renormings},
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Fabian, Marián; Hájek, Petr; Zizler, Václav. A note on lattice renormings. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 263-272. http://geodesic.mathdoc.fr/item/CMUC_1997__38_2_a6/