{"title":"On the modulus of L- and M-weakly compact operators","authors":"Klaus D. Schmidt","doi":"10.1016/1385-7258(88)90010-8","DOIUrl":null,"url":null,"abstract":"<div><p>In the present paper it is shown that every <em>L</em>-weakly compact operator from an <em>AL</em>-space into a <em>KB</em>-space has an <em>L</em>-weakly compact modulus and that every <em>M</em>-weakly compact operator from a Banach lattice into an order complete <em>AM</em>-space with unit has an <em>M</em>-weakly compact modulus.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 1","pages":"Pages 89-92"},"PeriodicalIF":0.0000,"publicationDate":"1988-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(88)90010-8","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae (Proceedings)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/1385725888900108","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In the present paper it is shown that every L-weakly compact operator from an AL-space into a KB-space has an L-weakly compact modulus and that every M-weakly compact operator from a Banach lattice into an order complete AM-space with unit has an M-weakly compact modulus.
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