Geodesic
A note on lattice renormings
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 263-272 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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 $C_0[0,\omega_1]$.
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; $c_0(\Gamma)$; $C_0[0, \omega_1]$ 
@article{CMUC_1997_38_2_a6,
     author = {Fabian, Mari\'an and H\'ajek, Petr and Zizler, V\'aclav},
     title = {A note on lattice renormings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {263--272},
     year = {1997},
     volume = {38},
     number = {2},
     mrnumber = {1455493},
     zbl = {0886.46006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1997_38_2_a6/}
}
TY  - JOUR
AU  - Fabian, Marián
AU  - Hájek, Petr
AU  - Zizler, Václav
TI  - A note on lattice renormings
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1997
SP  - 263
EP  - 272
VL  - 38
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMUC_1997_38_2_a6/
LA  - en
ID  - CMUC_1997_38_2_a6
ER  - 
%0 Journal Article
%A Fabian, Marián
%A Hájek, Petr
%A Zizler, Václav
%T A note on lattice renormings
%J Commentationes Mathematicae Universitatis Carolinae
%D 1997
%P 263-272
%V 38
%N 2
%U http://geodesic.mathdoc.fr/item/CMUC_1997_38_2_a6/
%G en
%F CMUC_1997_38_2_a6
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/