Banach格上AM-紧算子的M-和L-弱紧性  

M- and L-weakly compactness of AM-compact operators on Banach lattices

作　　者：王雅娟[1] 陈滋利[1] 柳雅朋 

机构地区：[1]西南交通大学数学学院,四川成都610031

出　　处：《西南民族大学学报（自然科学版）》2014年第1期79-82,共4页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：在Banach上对AM-紧算子与M-及L-弱紧算子之间的关系做了研究,得到了当AM-紧算子是M-(L-)弱紧算子时,其定义域和值域空间应具有的性质特征;反过来也得到了M-(L-)弱紧算子在什么空间条件下是AM-紧算子的一些相关结论.This paper introduces and studies the relationship between the AM-compact operator and the M-（L-）weak compact operator, mainly fi）cusing on the domains and range spaces tbr all AM-compact operator being M-（L-）weak compact operator. Some conclusions are obtained on how the M-（L-）weak compact operator is AM-compact operator.

关 键 词：BANACH格 AM-紧算子 M-弱紧算子 L-弱紧算子 

分 类 号：O153.1[理学—数学]