DW-compact operators on Banach latticesDW-compact operators on Banach...J.X. Chen, J. Feng

被引：0
|
作者：
Jin Xi Chen [1 ]
Jingge Feng [1 ]
机构：
[1] Southwest Jiaotong University,School of Mathematics
来源：
Positivity | 2025年 / 29卷 / 1期
关键词：
Disjointly weakly compact set; -compact operator; -compact operator; Almost Dunford–Pettis operator; Banach lattice; Primary 46B42; Secondary 46B50; 47B65;
D O I：
10.1007/s11117-024-01106-8
中图分类号：
学科分类号：
摘要：
This paper is devoted to the study of DW-compact operators, that is, those operators which map disjointly weakly compact sets in a Banach lattice onto relatively compact sets. We show that DW-compact operators are precisely the operators which are both Dunford–Pettis and AM-compact. As an application, Banach lattices with the property that every disjointly weakly compact set is a limited (resp. Dunford–Pettis) set, are characterized by using DW-compact operators.
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