On order convergence of nets

被引：57

作者：

Abramovich, Y ^{[1
]}

Sirotkin, G ^{[1
]}

机构：

[1] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA

来源：

POSITIVITY | 2005年 / 9卷 / 03期

基金：

英国科研创新办公室;

关键词：

Fourier Analysis; Operator Theory; Potential Theory; Continuous Operator; Order Convergence;

D O I：

10.1007/s11117-004-7543-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show that any order continuous operator between two Riesz spaces is automatically order bounded. We also investigate different types of order convergence.

引用

页码：287 / 292

页数：6

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