{"title":"Generalized duality of some Banach function spaces","authors":"Lech Maligranda , Lars Erik Persson","doi":"10.1016/S1385-7258(89)80007-1","DOIUrl":null,"url":null,"abstract":"<div><p>The set of multipliers from one vector space to another vector space may be seen as a generalized dual space in the sense of Köthe. We give some properties of this kind of duality and prove precise estimates concerning generalized duality of <em>X<sup>P</sup></em>-spaces, Lebesgue, Lorentz, Marcinkiewicz and Orlicz spaces. We complement and unify several previous results of this kind.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 3","pages":"Pages 323-338"},"PeriodicalIF":0.0000,"publicationDate":"1989-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80007-1","citationCount":"106","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae (Proceedings)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1385725889800071","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 106
Abstract
The set of multipliers from one vector space to another vector space may be seen as a generalized dual space in the sense of Köthe. We give some properties of this kind of duality and prove precise estimates concerning generalized duality of XP-spaces, Lebesgue, Lorentz, Marcinkiewicz and Orlicz spaces. We complement and unify several previous results of this kind.
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