{"title":"An elementary and unified proof of Grothendieck’s inequality","authors":"S. Friedland, Lek-Heng Lim, Jinjie Zhang","doi":"10.4171/LEM/64-3/4-6","DOIUrl":null,"url":null,"abstract":"We present an elementary, self-contained proof of Grothendieck's inequality that unifies both the real and complex cases and yields both the Krivine and Haagerup bounds, the current best-known bounds for the real and complex Grothendieck constants respectively.","PeriodicalId":344085,"journal":{"name":"L’Enseignement Mathématique","volume":"214 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"L’Enseignement Mathématique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4171/LEM/64-3/4-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
We present an elementary, self-contained proof of Grothendieck's inequality that unifies both the real and complex cases and yields both the Krivine and Haagerup bounds, the current best-known bounds for the real and complex Grothendieck constants respectively.
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