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AM-紧算子的分解(英文)
引用本文:程娜,陈滋利,陈志杰. AM-紧算子的分解(英文)[J]. 数学进展, 2010, 0(1)
作者姓名:程娜  陈滋利  陈志杰
作者单位:西南交通大学数学系;
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.

关 键 词:AM-紧算子  分解  序连续范数  

The Factorization of AM-compact Operators
CHENG Na,CHEN Zili,CHEN Zhijie. The Factorization of AM-compact Operators[J]. Advances in Mathematics(China), 2010, 0(1)
Authors:CHENG Na  CHEN Zili  CHEN Zhijie
Affiliation:CHENG Na~*,CHEN Zili~(**),CHEN Zhijie (Department of Mathematic,Southwest Jiaotong University,Chengdu,610031,P.R.China)
Abstract:
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.
Keywords:AM-compact operator  factorization  order continuous norm  
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