b-AM-Dunford-Pettis Operators on Banach lattices

被引：1
|
作者：
Baklouti, Hamadi [1 ]
Hajji, Mohamed [2 ]
Moulahi, Radhouene [1 ]
机构：
[1] Sfax Univ, Sfax, Tunisia
[2] Kairouan Univ, Kasserine, Tunisia
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 03期
关键词：
Banach lattice; b-Order bounded; Order continuous norm; COMPACT-OPERATORS;
D O I：
10.1007/s11785-024-01523-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In our research work, we introduce a new class of operators that we call b-AM-Dunford-Pettis operators. Properties of b-AM-Dunford-Pettis operators, the relationship between the b-AM-Dunford-Pettis operators and various classes of operators are investigated. On the other side, our techniques and results will be related to the lattice structure of the b-AM-Dunford-Pettis operators. For instance, it will be proved that under certain conditions, the b-AM-Dunford-Pettis opertors verify the domination properties.
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页数：12
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