On a Novel Generalization of p-Quasi-λ-Nuclear Operators

Othman Al-basheer

Sudan University of Science and Technology, Faculty of Science, Khartoum, Sudan

Abstract

In this paper we generalize the concept of 2-quasi - - nuclear operators between Normed spaces to -quasi- -nuclear operators between locally convex spaces and we study the relationship between p-quasi- - nuclear, nuclear operators, -nuclear, quasi-nuclear and quasi- - nuclear. Also, we prove that the composition of two operators, one of them is a -quasi- -nuclear, is again a p-quasi- -nuclear operator.