Tensorial representations of positive weakly (q,r)-dominated multilinear operators
Abdelaziz Belaada, Adel Bounabab, Athmane Ferradi, Khalil Saadi
Published: 2025/9/10
Abstract
We introduce and study the class of positive weakly (q,r)-dominated multilinear operators between Banach lattices. This notion extends classical domination and summability concepts to the positive multilinear setting and generates a new positive multi-ideal. A Pietsch domination theorem and a polynomial version are established. Finally, we provide a tensorial representation that yields an isometric identification with the dual of an appropriate completed tensor product.