{"title":"Order structure of the semigroup dual: a counterexample","authors":"A. Grabosch, R. Nagel","doi":"10.1016/S1385-7258(89)80027-7","DOIUrl":null,"url":null,"abstract":"<div><p>We give an example of a positive semigroup on a Banach lattice whose semigroup dual is not a Banach lattice.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 2","pages":"Pages 199-201"},"PeriodicalIF":0.0000,"publicationDate":"1989-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80027-7","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae (Proceedings)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1385725889800277","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
We give an example of a positive semigroup on a Banach lattice whose semigroup dual is not a Banach lattice.
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