Duality properties for b-AM-compact operators on Banach lattices

被引：3
作者：
Cheng, Na [1 ]
Chen, Zi-Li [2 ]
Chen, Guang-Gui [1 ]
机构：
[1] Xihua Univ, Sch Math & Comp Engn, Chengdu, Peoples R China
[2] Southwest Jiaotong Univ, Sch Math, Chengdu, Peoples R China
来源：
MATHEMATICAL NOTES | 2013年 / 93卷 / 3-4期
关键词：
Banach lattice; b-AM-compact operator; discrete space;
D O I：
10.1134/S0001434613030139
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain some necessary and some sufficient conditions on Banach lattices E and F for the following conditions to hold: (i) if T: E -> F is a b-AM-compact operator, then T': F' -> E' is also b-AM-compact operator and (ii) if T': F' -> E' is b-AM-compact operator, then T: E -> F is also b-AM-compact operator.
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页码：465 / 469
页数：5
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