Research Article

A note on the U-Dunford-Pettis operators

Published in: Quaestiones Mathematicae
Volume 48 , issue 3 , 2025 , pages: 429–436

DOI: 10.2989/16073606.2024.2397564

Author(s): Farid Afkir Moulay Ismail University of Meknes, Morocco , Aziz Elbour Moulay Ismail University of Meknes, Morocco

Keywords: Primary: 46B42 , Secondary: 47B60 , 47B65 , Dunford-Pettis operator , U-Dunford-Pettis operator , AM-compact operator , order continuous norm , Banach lattice

Download full text Get new issue alerts

Abstract

The purpose of this note is to give a correct proof of the theorem that concerns the domination property of the class of U-Dunford-Pettis operators obtained by O. Aboutafail, K. El Fahri, J. H’Michane and L. Zraoula [On the class of U-Dunford-Pettis operators, Quaestiones Mathematicae 45(4) (2022), 655–666]. Also, we investigate necessary and suﬃcient conditions under which U-Dunford–Pettis operators between Banach lattices must be Dunford–Pettis.

« On p-numerical radius inequalities for commutators of operators

Distance dominator packing coloring of type II »