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.
@article{bwmeta1.element.bwnjournal-article-apmv65z2p193bwm,
author = {Yunan Cui and Henryk Hudzik and Ryszard P\l uciennik},
title = {Banach-Saks property in some Banach sequence spaces},
journal = {Annales Polonici Mathematici},
volume = {66},
year = {1997},
pages = {193-202},
zbl = {0895.46010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv65z2p193bwm}
}
Yunan Cui; Henryk Hudzik; Ryszard Płuciennik. Banach-Saks property in some Banach sequence spaces. Annales Polonici Mathematici, Tome 66 (1997) pp. 193-202. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv65z2p193bwm/
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