Operator ideals related to absolutely summing and Cohen strongly summing operators
arXiv:1512.04713 · doi:10.2140/pjm.2017.287.1
Abstract
We study the ideals of linear operators between Banach spaces determined by the transformation of vector-valued sequences involving the new sequence space introduced by Karn and Sinha \cite{karnsinha} and the classical spaces of absolutely, weakly and Cohen strongly summable sequences. As applications, we prove a new factorization theorem for absolutely summing operators and a contribution to the existence of infinite dimensional spaces formed by non-absolutely summing operators is given.
15 pages