Hyper nuclear multilinear operators

Abstract

This memory examines hyper-ideals of multilinear operators, a framework introduced by Botelho and Torres that extends classical Pietsch multi ideals by incorporating composition properties. We study their general theory and, as a principal example, focus on hyper right p-nuclear multilinear operators. For these operators, we establish the linearization theorem and prove a decomposition characterized by mappings through ℓ p -spaces via a linear operator followed by a multilinear operator