{"title":"论算子的集合σ$-列维集","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":"{\"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}","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}
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.