{"title":"Semi-compactness of Null almost L-weakly and Null almost M-weakly compact operators","authors":"Safae El filali, Khalid Bouras","doi":"10.1007/s44146-024-00107-z","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we investigate Banach lattices on which each positive semi-compact operator <span>\\(T: E\\rightarrow F\\)</span> is null almost L-weakly compact (rep. Null almost M-weakly compact). Additionally, we present certain sufficient and necessary conditions for a positive Null almost L-weakly compact operator to be semi-compact.\n</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"90 1-2","pages":"207 - 218"},"PeriodicalIF":0.5000,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACTA SCIENTIARUM MATHEMATICARUM","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s44146-024-00107-z","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
In this paper, we investigate Banach lattices on which each positive semi-compact operator \(T: E\rightarrow F\) is null almost L-weakly compact (rep. Null almost M-weakly compact). Additionally, we present certain sufficient and necessary conditions for a positive Null almost L-weakly compact operator to be semi-compact.
在本文中，我们研究了巴拿赫网格，在这些网格上，每个正半紧密算子\(T: E\rightarrow F\) 都是 null almost L-weakly compact（代表 Null almost M-weakly compact）。此外，我们还提出了正Null almost L-弱紧凑算子成为半紧凑算子的某些充分必要条件。
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