Statistical convergence in vector lattices

被引：0
|
作者：
Aydin, A. [1 ]
Temizsu, F. [2 ]
机构：
[1] Mus Alparslan Univ, Dept Math, Mus, Turkiye
[2] Bingol Univ, Dept Math, Bingol, Turkiye
来源：
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2023年 / 111卷 / 03期
关键词：
statistical convergence of nets; order convergence; vector lattice; directed set measure; ORDER CONVERGENCE;
D O I：
10.31489/2023M3/4-10
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The statistical convergence is defined for sequences with the asymptotic density on the natural numbers, in general. In this paper, we introduce the statistical convergence in vector lattices by using the finite additive measures on directed sets. Moreover, we give some relations between the statistical convergence and the lattice properties such as the order convergence and lattice operators.
引用
收藏
页码：4 / 10
页数：7
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