{"title":"Factorization of two-Lipschitz integral operators","authors":"Khaled Hamidi","doi":"10.1007/s43036-024-00354-5","DOIUrl":null,"url":null,"abstract":"<div><p>We study the integrability and <i>S</i>-factorizability of two-Lipschitz operators between pointed metric spaces and Banach spaces. We also introduce a factorization theorem and examine its connection with the bi-linearization maps. Finally, we establish a relationship between these two classes of operators.</p></div>","PeriodicalId":44371,"journal":{"name":"Advances in Operator Theory","volume":"9 3","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Operator Theory","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s43036-024-00354-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study the integrability and S-factorizability of two-Lipschitz operators between pointed metric spaces and Banach spaces. We also introduce a factorization theorem and examine its connection with the bi-linearization maps. Finally, we establish a relationship between these two classes of operators.
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