Inclusions and coincidences for multiple Cohen positive strongly $p$−summing $m$−linear operators

Document Type : Original Article

Authors

Halima Hamdi ¹

Amar Belacel ¹

Amar Bougoutaia ²

¹ Laboratory of Pure and Applied Mathematics, University of Amar Telidji. Laghouat, Algeria

² Department of Mathematics, University of Laghouat, Algeria

10.22034/kjm.2023.378766.2736

Abstract

In this paper we compare the new class of multiple Cohen positive strongly $p$-summing multilinear operators along with different classes of positive multilinear summability including the classes of Cohen positive strongly summing $m$-linear operators and positive multiple summing $m$-linear operators. Moreover, we investigate a duality relationship in terms of tensor norm.

Keywords

Banach lattice

multiple Cohen strongly summing operators

Positive $p$−summing operators

Positive strongly $p$−summing operators

Tensor norm

Subjects

• 47 Operator theory

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