{"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":null,"pages":null},"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}
引用次数: 0
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.
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