Review

On the class of U-Dunford-Pettis operators

Published in: Quaestiones Mathematicae
Volume 45 , issue 4 , 2022 , pages: 655–666

DOI: 10.2989/16073606.2021.1887390

Author(s): Othman Aboutafail , Morocco , Kamal El Fahri , Morocco , Jawad H’Michane , Morocco , Larbi Zraoula , Morocco

Keywords: Primary: 47B60 , 47B65 , Secondary: 46B42 , Primary: 47B60 , 47B65 , Secondary: 46B42

Download full text Get new issue alerts

Abstract

We introduce a new class of operators “DP_u (E, Y)” which lives between the class of Dunford-Pettis, the class of AM-compact operators and that of order weakly compact “L_owc (E, Y)”, more precisely we have “DP (E, Y) ⊂ DP_u (E, Y) ⊂ L_owc (E, Y)” and “AM_cp (E, Y) ⊂ DP_u (E, Y) ⊂ L_owc (E, Y)”, where DP (E, Y), AM_cp (E, Y) denote the class of Dunford-Pettis operators, AM-compact operators, respectively. And we study some of its properties, like the domination problem and the relations between other classes of operators.

« On the convergence of solutions of globally modified magnetohydrodynamics equations with locally Lipschitz delays terms

The Borsuk-Ulam theorem for 3-manifolds »