The Order Properties of r–compact Operators on Banach Lattices

被引：0
作者：
Zi Li Chen
A. W. Wickstead
机构：
[1] Southwest Jiaotong University,Department of Mathematics
[2] The Queen’s University of Belfast,Department of Pure Mathematics
来源：
Acta Mathematica Sinica, English Series | 2007年 / 23卷
关键词：
Banach lattice; KB–space; regular norm; order continuous norm; –compact operator; 46B42; 47B07; 47B60;
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学科分类号：
摘要：
We present here that ℱ(E,F), the space of all r–compact operators from E into F, is a generalised sublattice of ℒr(E,F) for arbitary Banach lattices E and F, and that the characterization of the regular norm on ℱ(E,F) is order continuous. Some conditions for ℱ(E,F) to be a KB–space or a band in ℒr(E,F) are also provided.
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页码：457 / 466
页数：9
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