riesz空间中的统计无界阶收敛

IF 0.5 Q3 MATHEMATICS

Facta Universitatis-Series Mathematics and Informatics Pub Date : 2022-09-20 DOI:10.22190/fumi211013040a

A. Aydın

{"title":"riesz空间中的统计无界阶收敛","authors":"A. Aydın","doi":"10.22190/fumi211013040a","DOIUrl":null,"url":null,"abstract":"The statistical unbounded topological convergence was studied and investigated with respect to the solid topology in locally solid Riesz spaces. In this paper, we introduce the statistical unbounded order convergence in Riesz spaces by developing a topology-free technique with the order convergence on Riesz spaces. Moreover, we give some relations with other kinds of statistical convergences.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"28 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"STATISTICAL UNBOUNDED ORDER CONVERGENCE IN RIESZ SPACES\",\"authors\":\"A. Aydın\",\"doi\":\"10.22190/fumi211013040a\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The statistical unbounded topological convergence was studied and investigated with respect to the solid topology in locally solid Riesz spaces. In this paper, we introduce the statistical unbounded order convergence in Riesz spaces by developing a topology-free technique with the order convergence on Riesz spaces. Moreover, we give some relations with other kinds of statistical convergences.\",\"PeriodicalId\":54148,\"journal\":{\"name\":\"Facta Universitatis-Series Mathematics and Informatics\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Facta Universitatis-Series Mathematics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22190/fumi211013040a\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Facta Universitatis-Series Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22190/fumi211013040a","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

研究了局部实体Riesz空间中实体拓扑的统计无界拓扑收敛性。本文通过发展Riesz空间上的有序收敛的无拓扑技术，引入了Riesz空间上的统计无界有序收敛。此外，我们还给出了与其他统计收敛的一些关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

STATISTICAL UNBOUNDED ORDER CONVERGENCE IN RIESZ SPACES

The statistical unbounded topological convergence was studied and investigated with respect to the solid topology in locally solid Riesz spaces. In this paper, we introduce the statistical unbounded order convergence in Riesz spaces by developing a topology-free technique with the order convergence on Riesz spaces. Moreover, we give some relations with other kinds of statistical convergences.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

自引率

0.00%

发文量