{"title":"关于无界demi Dunford-Pettis算子","authors":"O. Gok, Esra Uluocak","doi":"10.12988/imf.2022.912329","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the notions of Dunford-Pettis operators and M -weakly compact operators in the unbounded norm topology ver-sion on Banach lattices. We characterize Banach lattices on which all operators are unbounded demi Dunford-Pettis operator and unbounded M -weakly demicompact operator","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"203 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On unbounded demi Dunford-Pettis operators\",\"authors\":\"O. Gok, Esra Uluocak\",\"doi\":\"10.12988/imf.2022.912329\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the notions of Dunford-Pettis operators and M -weakly compact operators in the unbounded norm topology ver-sion on Banach lattices. We characterize Banach lattices on which all operators are unbounded demi Dunford-Pettis operator and unbounded M -weakly demicompact operator\",\"PeriodicalId\":107214,\"journal\":{\"name\":\"International Mathematical Forum\",\"volume\":\"203 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Mathematical Forum\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/imf.2022.912329\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Mathematical Forum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/imf.2022.912329","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we investigate the notions of Dunford-Pettis operators and M -weakly compact operators in the unbounded norm topology ver-sion on Banach lattices. We characterize Banach lattices on which all operators are unbounded demi Dunford-Pettis operator and unbounded M -weakly demicompact operator
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