Rotundity of Vector-valued Banach Squence Spaces Equipped with Sequential Norms
Received:May 20, 2002  
Key Words: vector-valued sequence space   local unform rotundity   strong rotundity   very rotundity  
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Author NameAffiliation
REN Li-wei College of Science
Beijing Jiaotong University
Beijing
China 
FENG Guo-chen College of Science
Beijing Jiaotong University
Beijing
China 
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Abstract:
      In this paper, some convex properties of vector-valued Banach sequence spaces equipped with sequential norms are discussed. The main results are summarized as follows:1. ss(E) is locally uniformly rotund if and only if ss and E are locally uniformly rotund;2. ss(E) is strongly rotund if and only if ss and E are strongly rotund;3. Let ss and ss* have AK property, then ss(E) is very rotund if and only if ss and E are very rotund.
Citation:
DOI:10.3770/j.issn:1000-341X.2005.01.012
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