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  Volume 9, Issue 4, Article 107
 
A Note on the Modulus of $U$-Convexity and Modulus of $W^*$-Convexity

    Authors: Zhanfei Zuo, Yunan Cui,  
    Keywords: Modulus of U-convexity; Modulus of W*-convexity; Coefficient of weak orthogonality; Uniform normal structure; Fixed point.  
    Date Received: 29/07/08  
    Date Accepted: 13/11/08  
    Subject Codes:

46B20

 
    Editors: Sever S. Dragomir,  
 
    Abstract:

We present some sufficient conditions for which a Banach space $ X$ has normal structure in term of the modulus of $ U$-convexity, modulus of $ W^*$-convexity and the coefficient of weak orthogonality. Some known results are improved.

         
       
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