Banach-Saks property in some Banach sequence spaces
Volume 65 / 1997
Annales Polonici Mathematici 65 (1997), 193-202
DOI: 10.4064/ap-65-2-193-202
Abstract
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.
