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arXiv · 1512.04713

Operator ideals related to absolutely summing and Cohen strongly summing operators

Geraldo Botelho·Jamilson R. Campos·Joedson Santos
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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.

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Geraldo Botelho, Jamilson R. Campos, Joedson Santos. 2015-12-15. Operator ideals related to absolutely summing and Cohen strongly summing operators. https://doi.org/10.2140/pjm.2017.287.1

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