Banach格上的弱* DP算子  

The weak* Dunford-pettis Operators in Banach Lattices

作　　者：厉艳妮 陈滋利[1] 

机构地区：[1]西南交通大学数学学院,四川成都610031

出　　处：《洛阳理工学院学报（自然科学版）》2016年第1期76-79,共4页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

基　　金：国家自然科学基金(11301285)

摘　　要：研究巴拿赫格上弱*DP算子的相关性质,基于不交序列思想给出了弱*DP算子的序列刻画。利用构造特殊算子的技巧,得到了使得弱*Dunford-Pettis算子是Dunford-Pettis算子的等价刻画,并且获得了相关的推论。最后给出了使得弱*Dunford-Pettis算子为紧算子的一个充分条件。Studying properties of weak ＊ Dunford-pettis in Banach lattices, this paper gives a characterization of weak ＊ Dunford-pettis operator based on disjoint sequence. Skills of structuring special operators are used to make weak ＊ Dunford-Pettis operator equivalent to Dunford-Pettis operator and then some relevant inferences are achieved. Finally, a sufficient condition is given to work the weak ＊ Dunford-pettis operator as the compact operator.

关 键 词：巴拿赫格 DP算子 弱＊DP算子 M-弱紧算子 紧算子 极限算子 

分 类 号：O177[理学—数学]