AM-紧算子的分解(英文)  

The Factorization of AM-compact Operators

作　　者：程娜[1] 陈滋利[1] 陈志杰[1] 

机构地区：[1]西南交通大学数学系,成都610031

出　　处：《数学进展》2010年第1期124-126,共3页Advances in Mathematics（China）

摘　　要：给出了AM-紧算子,通过具有序连续范数的Banach lattice进行分解,且其中一个因子是AM-紧算子的结论.同时给出了正的AM-紧算子的一些结论.最后对于Dunford-Pettis算子考虑了同样的问题.This work is devoted to the AM-compact operators factor through Banach lattice with order continuous norm and one AM-compact factor. As consequence, we obtain some interesting results on positive AM-compact operators. And the similar question for Dunford- Pettis operator is also considered.

关 键 词：AM-紧算子 分解 序连续范数 

分 类 号：O177.2[理学—数学]