uτ-convergence in locally solid vector lattices

被引：0

作者：

Dabboorasad, Y. A. ^{[1
,2
]}

Emelyanov, E. Y. ^{[2
]}

Marabeh, M. A. A. ^{[3
]}

机构：

[1] Islamic Univ Gaza, Dept Math, POB 108, Gaza City, Palestine

[2] Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkey

[3] Palestine Tech Univ Kadoorie, Coll Sci & Arts, Dept Appl Math, Tulkarem, Palestine

来源：

POSITIVITY | 2018年 / 22卷 / 04期

关键词：

Banach lattice; Vector lattice; ut-convergence; ut-topology; uo-convergence; un-convergence; un-topology; UNBOUNDED ORDER CONVERGENCE; BANACH-LATTICES;

D O I：

10.1007/s11117-018-0559-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a net in a locally solid vector lattice ; we say that is unbounded -convergent to a vector if for all . In this paper, we study general properties of unbounded -convergence (shortly -convergence). -convergence generalizes unbounded norm convergence and unbounded absolute weak convergence in normed lattices that have been investigated recently. We introduce -topology and briefly study metrizability and completeness of this topology.

引用

页码：1065 / 1080

页数：16

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