序几乎(L)-Dunford-Pettis算子  

The Classes of Order Almost (L)-Dunford-Pettis Operators

作　　者：梅礼华 陈滋利[2] MEI Lihua;CHEN Zili(College of Information Engineering,Lanzhou University of Finance and Economics,Lanzhou 730020,Gansu;School of Mathematics,Southwest Jiaotong University,Chengdu 611756,Sichuan)

机构地区：[1]兰州财经大学信息工程学院,甘肃兰州730020 [2]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）》2019年第2期221-223,共3页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(61662066)

摘　　要：首先根据序(L)-Dunford-Pettis算子的概念定义序几乎(L)-Dunford-Pettis算子,其次研究序几乎(L)-Dunford-Pettis算子的一些性质,以及序几乎(L)-Dunford-Pettis算子与几乎Dunford-Pettis算子、序弱紧算子、序(L)-Dunford-Pettis算子和AM紧算子的关系.According to the concept of order(L)-Dunford-Pettis operators,we define order almost(L)-Dunford-Pettis operators and introduce some properties about order almost(L)-Dunford-Pettis operators,and study the relationship between almost Dunford-Pet-tis operators,order weakly compact operators,(L)-Dunford-Pettis operators,AM-compact operators and order almost(L)-Dunford-Pettis operators.

关 键 词：序有界集 几乎(L)集 几乎Dunford-Pettis算子 序几乎(L)-Dunford-Pettis算子 

分 类 号：O177[理学—数学]