The Weak Local Zk -Property of Banach Spaces
Received:March 09, 1994  Revised:April 15, 1996
Key Words: local K-nearly uniformly conex, K-nearly uniformly convex, weak local Zk-property, weak Zk-property, weak Banach-Saks property.  
Fund Project:
Author NameAffiliation
He Zongxiang Dept. of Math. , Anhui Normal University, Wuhu 241000 
Li Qingde Dept. of Math. , Anhui Normal University, Wuhu 241000 
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Abstract:
      In this paper we in troduce the weak local Zk-property and the weak Zk-property. With these concepts we give a characterization that a Banach space is K-NUC space. We also obtain a sufficient condition for a Banach space to be a LK-NUC space. We prove that weak Zk-property implies weak Banach-Saks property.
Citation:
DOI:10.3770/j.issn:1000-341X.1996.04.017
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