弱几乎极限算子的一些性质  

Properties of Approximate Weak Limit Operator

作　　者：周玉莎[1] 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）》2015年第2期90-92,共3页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

基　　金：四川省基础研究项目(2010JY0067)

摘　　要：给出了弱几乎极限算子与L-弱紧算子(半紧算子)的关系,同时也给出了弱几乎极限算子是极限全连续算子的充要条件,以及相关结论。The relations between the approximate weak limit operators and the L -weakly compact operators （semi -compact operators） are established, and some sufficient and necessary conditions for approximate weak limit operator to become completely continuous limit operator are also presented. Accordingly, some related results are obtained as well.

关 键 词：弱几乎极限算子 极限全连续算子 L-弱紧算子 序连续范数 

分 类 号：O177.2[理学—数学]