Some classes of p-summing type operators

Abstract

This work based on the article of O. Blasco and T. Signes, where the o authors introduced and studied the classes of bounded linear operators Φ : L (X,Y) → L (Z, W) such that (Tn) → (Φ (Tn)) maps l s p (X,Y) into lp (Z, W), l s p (X,Y) into l s p (Z, W) and l w p (X,Y) into l s p (Z, W). The Pietsch-type dominations of (l s p , lp)-summing linear operators wich presented nowadays by José Rodríguez and Enrique A. Sánchez-Pérez is also given .