The Order Properties of r-compact Operators on Banach Lattices

被引：0
|
作者：
A.W.WICKSTEAD [1 ]
机构：
[1] Department of Pure Mathematics,The Queen’s University of Belfast,Belfast BT71 NN,Northern Ireland,UK
来源：
Acta Mathematica Sinica(English Series) | 2007年 / 23卷 / 03期
关键词：
Banach lattice; KB-space; regular norm; order continuous norm; r-compact operator;
D O I：
暂无
中图分类号：
O189 [拓扑（形势几何学）];
学科分类号：
070104 ;
摘要：
We present here that F(E,F),the space of all r-compact operators from E into F,is ageneralised sublattice of L~r(E,F) for arbitary Banach lattices E and F,and that the characterizationof the regular norm on F(E,F) is order continuous.Some conditions for F(E,F) to be a KB-spaceor a band in L~r(E,F) are also provided.
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页码：457 / 466
页数：10
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