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  Volume 3, Issue 4, Article 55
 
On Moduli of Expansion of the Duality Mapping of Smooth Banach Spaces
    Authors: Pavle M. Milicic,  
    Keywords: Uniformly convex (smooth) Banach space, Angle of modulus convexity (smoothness), Lower (upper) modulus of expansion.  
    Date Received: 05/04/02  
    Date Accepted: 20/05/02  
    Subject Codes:

46B20,46C15,51K05.

  
    Editors: Sever S. Dragomir,  
 
    Abstract:

Let X be a Banach space which is uniformly convex and uniformly smooth. We introduce the lower and upper moduli of expansion of the dual mapping J of the space X. Some estimation of certain well-known moduli (convexity, smoothness and flatness) and two new moduli introduced in [5] are described with this new moduli of expansion.

[5] P.M. MILICIC, The angle modulus of the deformation of a normed space, Riv. Mat. Univ. Parma, (6) 3(2002), 101-111.

         
       
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