{"title":"On collectively $σ$-Levi sets of operators","authors":"Eduard Emelyanov","doi":"arxiv-2408.03686","DOIUrl":null,"url":null,"abstract":"A collectively $\\sigma$-Levi set of operators is a generalization of the\n$\\sigma$-Levi operator. By use of collective order convergence, we investigate\nrelations between collectively $\\sigma$-Levi and collectively compact sets of\noperators.","PeriodicalId":501036,"journal":{"name":"arXiv - MATH - Functional Analysis","volume":"304 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.03686","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A collectively $\sigma$-Levi set of operators is a generalization of the
$\sigma$-Levi operator. By use of collective order convergence, we investigate
relations between collectively $\sigma$-Levi and collectively compact sets of
operators.