Some results on the class of unbounded Dunford-Pettis operators

TL;DR

This paper introduces and investigates unbounded Dunford-Pettis operators, exploring their fundamental properties, duality, domination, and connections with other operator classes in functional analysis.

Contribution

It is the first to define and analyze the class of unbounded Dunford-Pettis operators, expanding the understanding of operator theory.

Findings

Basic properties of unbounded Dunford-Pettis operators established.

Results on duality and domination problems derived.

Relationships with other operator classes clarified.

Abstract

We introduce and study the class of unbounded DunfordPettis operators. As consequences, we give basic properties and derive interesting results about the duality, domination problem and relationship with other known classes of operators.