Incompleteness of the linear span of the positive compact operators

被引：11

作者：

Chen, ZL ^{[1
]}

Wickstead, AW ^{[1
]}

机构：

[1] Queens Univ Belfast, Dept Pure Math, Belfast BT7 1NN, Antrim, North Ireland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 11期

关键词：

compact operators; regular operators;

D O I：

10.1090/S0002-9939-97-04220-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that even in the case of a Banach lattice E with an order continuous norm (or whose dual has an order continuous norm) the linear span of the positive compact operators on E need not be complete under the regular norm.

引用

页码：3381 / 3389

页数：9

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