Geodesic
Uniform non-\(\ell^n_1\)-ness of \(\ell_\infty\)-sums of Banach spaces
Commentationes Mathematicae, Tome 49 (2009) no. 2, pp. 179-187.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We shall characterize the uniform non-\(\ell^n_1\)-ness of \(\ell_\infty\)-sums of Banach spaces \((X_1 \oplus \dots\oplus X_m)_\infty\). As applications, some results on super-reflexivity and the fixed point property for nonexpansive mappings will be presented.
DOI : 10.14708/cm.v49i2.5294
Mots-clés : \(\ell_\infty\)-sum of Banach spaces, uniformly non-square space, uniformly non-\(\ell^n_1\)-space, super-reflexivity, fixed point property, constant \(R(a, X)\). 
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Mikio Kato; Takayuki Tamura. Uniform non-\(\ell^n_1\)-ness of \(\ell_\infty\)-sums of Banach spaces. Commentationes Mathematicae, Tome 49 (2009) no. 2, pp.  179-187. doi : 10.14708/cm.v49i2.5294. http://geodesic.mathdoc.fr/articles/10.14708/cm.v49i2.5294/

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