A+ CATEGORY SCIENTIFIC UNIT

Banach-Saks property in some Banach sequence spaces

Volume 65 / 1997

Yunan Cui, Henryk Hudzik, Ryszard Płuciennik 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.

Authors

  • Yunan Cui
  • Henryk Hudzik
  • Ryszard Płuciennik

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