On positive Cohen weakly nuclear multilinear operators
Keywords:
Banach lattice, Pietsch domination theorem, positive $p$-summing operator, tensor norm
Published online:
2023-11-14
Abstract
In this article, we establish new relationships involving the class of Cohen positive strongly $p$-summing multilinear operators. Furthermore, we introduce a new class of multilinear operators on Banach lattices, called positive Cohen weakly nuclear multilinear operators. We establish a Pietsch domination-type theorem for this new class of multilinear operators. As an application, we show that every positive Cohen weakly $p$-nuclear multilinear operator is positive Dimant strongly $p$-summing and Cohen positive strongly $p$-summing. We conclude with a tensor representation of our class.
How to Cite
(1)
Bougoutaia, A.; Belacel, A.; Macedo, R.; Hamdi, H. On Positive Cohen Weakly Nuclear Multilinear Operators. Carpathian Math. Publ. 2023, 15, 396-410.