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ArticleOriginal scientific text

Title

Banach-Saks property in some Banach sequence spaces

Authors 1, 2, 3

Affiliations

  1. Department of Mathematics, Harbin University of Science and Technology, Xuefu Road 52, 150080 Harbin, China
  2. Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland
  3. Institute of Mathematics, T. Kotarbiński Pedagogical University, Pl. Słowiański 9, 65-069 Zielona Góra, Poland

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.

Keywords

ENG
Banach-Saks property, property (β), nearly uniform convexity, uniform Kadec-Klee property, property (H), Musielak-Orlicz sequence space

Bibliography

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Annales Polonici Mathematici
1996-1997/65/2
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Pages:
193-202
Main language of publication
English
Received
1996-04-15
Accepted
1996-06-25
Published
1997
Exact and natural sciences