Hyper nuclear multilinear operators
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Date
2025-06-15
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
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
Description
Keywords
Hyper-ideals, Multilinear operators, multi ideals-ideals, Hyper p-nuclear multilinear operators