JIPAM

On Estimates of Normal Structure Coefficients of Banach Spaces  
 
  Authors: Y. Q. Yan,  
  Keywords: Normal structure coefficient, Neumann-Jordan constant, Non-square constants, Banach space.  
  Date Received: 22/08/03  
  Date Accepted: 09/01/04  
  Subject Codes:

46B20, 46E30

  
  Editors: Constantin P. Niculescu,  
 
  Abstract:

We obtained the estimates of Normal structure coefficient $ N(X)$ by Neumann-Jordan constant $ C_{NJ}(X)$ of a Banach space $ X$ and found that $ X$ has uniform normal structure if $ C_{NJ}(X)<(3+\sqrt{5})/4.$ These results improved both Prus' [6] and Kato, Maligranda and Takahashi's [4] work. ;


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