Banach格上的无界绝对弱收敛的弱Dunford-Pettis算子  

Uaw-w-Dunford-Pettis Operators on Banach Lattices

作　　者：伯夏 陈滋利[1] 陈金喜[1] BO Xia;CHEN Zili;CHEN Jinxi(College of Mathematics,Southwest Jiaotong University,Chengdu 611756,Sichuan)

机构地区：[1]西南交通大学数学学院,四川成都611756

出　　处：《四川师范大学学报（自然科学版）》2020年第4期447-450,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11701479)。

摘　　要：首先提出一类定义在Banach格上的新算子--无界绝对弱收敛的Dunford-Pettis算子,记作uaw-w-Dunford-Pettis算子,利用构造不交列的技巧给出uaw-w-Dunford-Pettis算子的等价刻画,并给出其中几个相关性质.最后研究该算子与弱Dunford-Pettis算子和M-弱紧算子间的关系.A new class of operators is proposed,so called uaw-w-Dunford-Pettis operator.The equivalent characterization of the uaw-w-Dunford-Pettis operator is given by using the skills of disjoint sequence,and some of the related properties are given.At last,we study the relationship between uaw-w-Dunford-Pettis operators and weak Dunford-pettis operators(M-weak-compact operators)in this paper.

关 键 词：BANACH格 uaw-w-Dunford-Pettis算子 不交列 

分 类 号：O177[理学—数学]