This is an announcement for the paper "Operator ideals related to absolutely summing and Cohen strongly operators" by Geraldo Botelho, Jamilson R. Campos, and Joedson Santos.

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.

Archive classification: math.FA

Mathematics Subject Classification: 46B45, 47B10, 47L20

Remarks: 15 pages

Submitted from: jamilson@dce.ufpb.br

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1512.04713

or

http://arXiv.org/abs/1512.04713