{"title":"近乎 L 弱和近乎 M 弱空紧凑算子的半紧凑性","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":"{\"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}","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
摘要
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。
Semi-compactness of Null almost L-weakly and Null almost M-weakly compact operators
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.
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