Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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BANACH SPACE WITH PROPERTY (β) WHICH CANNOT BE RENORMED TO BE B-CONVEX

  • Cho, Kyugeun (Bankmok College of Basic Studies Myong Ji University) ;
  • Lee, Chongsung (Department of Mathematics education Inha University)
  • Received : 2006.07.01
  • Published : 2006.12.30
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Abstract

In this paper, we study property (${\beta}$) and B-convexity in reflexive Banach spaces. It is shown that k-uniform convexity implies B-convexity and property (${\beta}$). We also show that there is a Banach space with property (${\beta}$) which cannot be equivalently renormed to be B-convex.

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