On collectively almost (limitedly, order) L-weakly compact sets of operators

TL;DR

This paper develops collective semi-duality theorems for sets of operators that are almost, limitedly, or order L-weakly compact, advancing the theoretical understanding of these operator classes.

Contribution

It introduces collective semi-duality results for various classes of L-weakly compact operators, extending existing duality theories.

Findings

Established semi-duality theorems for almost L-weakly compact operators

Extended duality results to limitedly and order L-weakly compact operators

Provided a unified framework for collective properties of these operator sets

Abstract

We prove collective versions of semi-duality theorems for sets of almost (limitedly, order) L-weakly compact operators.