Some characterizations of L-weakly compact sets using the unbounded absolute weak convergence and applications

被引：4
|
作者：
El Fahri, K. [1 ]
Khabaoui, H. [2 ]
H'michane, J. [2 ]
机构：
[1] Univ Ibn Zohr, Fac Sci Agadir, Dept Math, Equipe Equat Fonct & Applicat, Agadir, Morocco
[2] Univ Moulay Ismail, Fac Sci, Dept Math, BP 11201 Zitoune, Meknes, Morocco
来源：
POSITIVITY | 2022年 / 26卷 / 03期
关键词：
L-weakly compact sets; Order continuous Banach lattices; Unbounded absolute weak convergence; Order weakly compact operators;
D O I：
10.1007/s11117-022-00912-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on the concept of unbounded absolute weak convergence, we give new characterizations of L-weakly compact sets. As applications, we find new properties of some classes of operators. Also, new characterizations of order continuous Banach lattices are obtained.
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页数：13
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