JIPAM

On the Cohen $p$-Nuclear Sublinear Operators  
 
  Authors: Achour Dahmane, Mezrag Lahcène, Saadi Khalil,  
  Keywords: Banach lattice, Cohen $p$-nuclear operators, Pietsch's domination theorem, Strongly $p$-summing operators, Sublinear operators.  
  Date Received: 29/01/09  
  Date Accepted: 22/03/09  
  Subject Codes:

46B42, 46B40, 47B46, 47B65.

  
  Editors: Constantin P. Niculescu,  
 
  Abstract:

Let $ mathcal{SB}(X,Y)$ be the set of all bounded sublinear operators from a Banach space $ X$ into a complete Banach lattice $ Y$. In the present paper, we will introduce to this category the concept of Cohen $ p$-nuclear operators. We give an analogue to ``Pietsch's domination theorem'' and we study some properties concerning this notion. ;


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