Geodesic
Weak nearly uniform soothness and worth property of \(\psi\)-direct sums of Banach spaces
Commentationes Mathematicae, Tome 46 (2006) no. 1, pp. 113-129.

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

We shall characterize the weak nearly uniform smoothness of the \(\psi\)-direct sum \(X \oplus_\psi Y\) of Banach spaces \(X\) and \(Y\). The Schur and WORTH properties will be also characterized. As a consequence we shall see in the \(\ell_\infty\)-sums of Banach spaces there are many examples of Banach spaces with the fixed point property which are not uniformly non-square.
DOI : 10.14708/cm.v46i1.5211
Mots-clés : absolute norm, convex function, \(\psi\)-direct sum of Banach spaces, weak nearly uniform smoothness, Garcia-Falset coefficient, Schur property, WORTH property, uniform non-squareness, fixed point property 
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Mikio Kato; Takayuki Tamura. Weak nearly uniform soothness and worth property of \(\psi\)-direct sums of Banach spaces. Commentationes Mathematicae, Tome 46 (2006) no. 1, pp.  113-129. doi : 10.14708/cm.v46i1.5211. http://geodesic.mathdoc.fr/articles/10.14708/cm.v46i1.5211/

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