On the domination problem of positive Null almost L-weakly compact operators on Banach lattices

被引：0

作者：

Abdennabi, El Aloui ^{[1
]}

Khalid, Bouras ^{[1
]}

机构：

[1] Abdelmalek Essaadi Univ, MMA, FPL, Tetouan, Morocco

来源：

POSITIVITY | 2023年 / 27卷 / 03期

关键词：

Banach lattice; Positive operator; Domination problem; Null almost L-weakly compact operator; Dunford-Pettis operator;

D O I：

10.1007/s11117-023-00995-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a necessary and sufficient conditions for which the domination problem admits a positive solution for the class of positive Null almost L-weakly compact operators, this study ends with an open question which will discussed later. We then consider, the linear span of positive Null almost L-weakly (resp., Null almost M-weakly) compact operators and give results about when they form a Banach lattice and have an order continuous norm.

引用

页数：9

共 17 条

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