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.

引用

页数：12

共 19 条

[1]

Aliprantis C.D., 2006, Positive Operators

[2] ON WEAKLY COMPACT-OPERATORS ON BANACH-LATTICES [J].