A note on lattice renormings
Fabián, Marián J. ; Hájek, Petr ; Zizler, Václav
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997), p. 263-272 / Harvested from Czech Digital Mathematics Library
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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 $C_0[0,\omega_1]$.

Publié le : 1997-01-01
Classification:  46B03,  46B20,  46B26 
@article{118924,
     author = {Mari\'an J. Fabi\'an and Petr H\'ajek and V\'aclav Zizler},
     title = {A note on lattice renormings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {38},
     year = {1997},
     pages = {263-272},
     zbl = {0886.46006},
     mrnumber = {1455493},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118924}
}

Fabián, Marián J.; Hájek, Petr; Zizler, Václav. A note on lattice renormings. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 263-272. http://gdmltest.u-ga.fr/item/118924/

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