On generalized $\bf{\ell_p}$-spaces
Mitani, Ken-ichi ; Saito, Kichi-Suke
Hiroshima Math. J., Tome 37 (2007) no. 1, p. 1-12 / Harvested from Project Euclid
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In our article Absolute norms on $C^n$,, we characterized absolute normalized norms on $\Bbb C^n$ by using a continuous convex function with some appropriate conditions on a certain convex subset of $\mathbb R^n$. In this paper, we introduce the notion of generalized $\ell_p$-spaces, that is, $\ell_{\psi}$-spaces, and study their structures.
Publié le : 2007-03-14
Classification:  Absolute norm,  strictly convex,  uniformly convex,  46B20 
@article{1176324091,
     author = {Mitani, Ken-ichi and Saito, Kichi-Suke},
     title = {On generalized $\bf{\ell\_p}$-spaces},
     journal = {Hiroshima Math. J.},
     volume = {37},
     number = {1},
     year = {2007},
     pages = { 1-12},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176324091}
}

Mitani, Ken-ichi; Saito, Kichi-Suke. On generalized $\bf{\ell_p}$-spaces. Hiroshima Math. J., Tome 37 (2007) no. 1, pp.  1-12. http://gdmltest.u-ga.fr/item/1176324091/