Statistically order compact operators on Riesz spaces

被引：0

作者：

Aydin, Abdullah ^{[1
]}

机构：

[1] Mus Alparslan Univ, Dept Math, Mus, Turkiye

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2024年 / 53卷 / 03期

关键词：

compact operator; Riesz space; statistical order convergence; statistical order compact operator; statistical M-weakly compact operator; CONVERGENCE;

D O I：

10.15672/hujms.1223922

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This research paper introduces and establishes the concept of compact operators in the context of Riesz spaces, specifically considering statistical order convergence. We define statistical order compact operators as operators that map statistical order bounded sequences to sequences with statistical order convergent subsequences. Additionally, we define statistical M-weakly compact operators. By utilizing these non-topological concepts, we derive some new results pertaining to these operators.

引用

页码：628 / 636

页数：9

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