Geodesic
Banach-Saks property in some Banach sequence spaces
Annales Polonici Mathematici, Tome 65 (1996) no. 2, pp. 193-202.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is proved that for any Banach space X property (β) defined by Rolewicz in [22] implies that both X and X* have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity, the uniform Kadec-Klee property and property (H) are given.
DOI : 10.4064/ap-65-2-193-202
Keywords: Banach-Saks property, property (β), nearly uniform convexity, uniform Kadec-Klee property, property (H), Musielak-Orlicz sequence space

Yunan Cui 1 ; Henryk Hudzik 1 ; Ryszard Płuciennik 1

1 
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Yunan Cui; Henryk Hudzik; Ryszard Płuciennik. Banach-Saks property in some Banach sequence spaces. Annales Polonici Mathematici, Tome 65 (1996) no. 2, pp. 193-202. doi : 10.4064/ap-65-2-193-202. http://geodesic.mathdoc.fr/articles/10.4064/ap-65-2-193-202/

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