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.

引用

页码：465 / 469

页数：5

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