Operator ideals related to absolutely summing and Cohen strongly summing operators

摘要

We study the ideals of linear operators between Banach spaces determined bythe transformation of vector-valued sequences involving the new sequence spaceintroduced by Karn and Sinha \cite{karnsinha} and the classical spaces ofabsolutely, weakly and Cohen strongly summable sequences. As applications, weprove a new factorization theorem for absolutely summing operators and acontribution to the existence of infinite dimensional spaces formed bynon-absolutely summing operators is given.