Abstract of a paper by Geraldo Botelho, Jamilson R. Campos, and Joedson Santos
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
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