{"title":"半群对偶的序结构:一个反例","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":"{\"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}","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}