Abstract
We introduce a notion of ( p , q ) -dominated multilinear operators which stems from the geometrical approach provided by Σ-operators. We prove that ( p , q ) -dominated multilinear operators can be characterized in terms of their behavior on finite sequences and in terms of their relation with a Lapresté tensor norm. We also prove that they satisfy a generalization of the Pietsch's Domination Theorem and Kwapień's Factorization Theorem. Also, we study the collection D p , q of all ( p , q ) -dominated multilinear operators showing that D p , q has a maximal ideal demeanor and that the Lapresté norm has a finitely generated behavior.
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