{"title":"Polynomial approximation of quantum Lipschitz functions","authors":"Konrad Aguilar, Jens Kaad, David Kyed","doi":"10.4171/dm/884","DOIUrl":null,"url":null,"abstract":"We prove an approximation result for Lipschitz functions on the quantum sphere S q , from which we deduce that the two natural quantum metric structures on S q have quantum Gromov-Hausdorff distance zero.","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":"346 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Documenta Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/dm/884","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 3
Abstract
We prove an approximation result for Lipschitz functions on the quantum sphere S q , from which we deduce that the two natural quantum metric structures on S q have quantum Gromov-Hausdorff distance zero.
期刊介绍:
DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented
Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.