Dunford-Pettis Multilinear Operators and their variations: A revisit to the classic concepts of Operator Ideals

TL;DR

This paper explores generalized Dunford-Pettis multilinear operators, introducing new classes, analyzing their relationships with existing operator ideals, and establishing inclusion and coincidence conditions.

Contribution

It presents novel classes of Dunford-Pettis multilinear operators and investigates their relationships with established operator ideals and new emerging classes.

Findings

New classes of Dunford-Pettis multilinear operators introduced

Inclusion results between different operator classes established

Conditions for class coincidences analyzed

Abstract

In this paper, we will address broader concepts for Dunford-Pettis operators, presenting new classes and results that correlate this class with others already well-studied in the literature, as well as an approach outside the origin. We also investigate the inclusion results and conditions for the coincidence of this class with others previously studied and also with new classes that will emerge throughout this text.