{"title":"双李普西茨积分算子的因式分解","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":0.7000,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":0.7000,\"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}","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
摘要
我们研究了尖度量空间和巴拿赫空间之间的双利浦齐兹算子的可整性和 S 因式分解性。我们还引入了因式分解定理，并研究了它与双线性化映射的联系。最后，我们建立了这两类算子之间的关系。
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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