On The Cohen $p$-Nuclear Positive Sublinear Operators

Amar BELACEL a,∗

On The Cohen $p$-Nuclear Positive Sublinear Operators

Authors :

Amar BELACEL^a,∗

Author Address :

^a Laboratoire de Mathématiques Pures et Appliquées (LMPA), University of Laghouat, Laghouat, Algeria.

*Corresponding author.

Abstract :

In the present paper, we will introduce the concept of Cohen $p$-nuclear\ positive sublinear operators. We give an analogue to \textquotedblleft Pietsch’s domination theorem\textquotedblright\ and we study some properties concerning this notion.

Keywords :

Cohen p-nuclear operators, Pietsch’s domination theorem, Strongly $p$-summing operators, Positive operator, Sublinear operators.

DOI :

Article Info :

Received : January 10, 2016; Accepted : August 21, 2016.