{"title":"On non-surjective coarse isometries between Banach spaces","authors":"Lixin Cheng, Quanqing Fang, Sijie Luo, Longfa Sun","doi":"10.2989/16073606.2018.1448900","DOIUrl":null,"url":null,"abstract":"Abstract Assume that X, Y are real Banach spaces, Y has uniform convexity of type p (≥ 1), and f: X → Y is a standard coarse isometry. In this paper, we show that if then there is a linear isometry U : X → Y so that where is defined by Representation properties of coarse isometries in free ultrafilter limits on are also discussed.","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"70 1","pages":"347 - 362"},"PeriodicalIF":0.6000,"publicationDate":"2019-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quaestiones Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2989/16073606.2018.1448900","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 8
Abstract
Abstract Assume that X, Y are real Banach spaces, Y has uniform convexity of type p (≥ 1), and f: X → Y is a standard coarse isometry. In this paper, we show that if then there is a linear isometry U : X → Y so that where is defined by Representation properties of coarse isometries in free ultrafilter limits on are also discussed.
期刊介绍：
Quaestiones Mathematicae is devoted to research articles from a wide range of mathematical areas. Longer expository papers of exceptional quality are also considered. Published in English, the journal receives contributions from authors around the globe and serves as an important reference source for anyone interested in mathematics.
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