DW-compact operators on Banach lattices

被引：0

作者：

Chen, Jin Xi ^{[1
]}

Feng, Jingge ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

来源：

POSITIVITY | 2025年 / 29卷 / 01期

关键词：

Disjointly weakly compact set; <italic>DW</italic>-compact operator; <italic>AM</italic>-compact operator; Almost Dunford-Pettis operator; Banach lattice; DUNFORD-PETTIS SETS;

D O I：

10.1007/s11117-024-01106-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页数：15

共 23 条

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