{"title":"About positive weak almost Dunford-Pettis operators and their duality","authors":"A. Retbi, B. E. Wahbi","doi":"10.12988/ijma.2014.46182","DOIUrl":null,"url":null,"abstract":"We establish some necessary and sufficient conditions on the pairs of Banach lattices E,F under which each positive weak almost Dunford-Pettis operator T : E → F has an adjoint T ′ : F ′ → E′ which is Dunford-Pettis. Finally, we derive some interesting results. Mathematics Subject Classification: 46A40, 46B40, 46F42","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"54 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 Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/ijma.2014.46182","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
We establish some necessary and sufficient conditions on the pairs of Banach lattices E,F under which each positive weak almost Dunford-Pettis operator T : E → F has an adjoint T ′ : F ′ → E′ which is Dunford-Pettis. Finally, we derive some interesting results. Mathematics Subject Classification: 46A40, 46B40, 46F42