{"title":"关于Banach代数的积分扩展","authors":"Sara El Kinani, Rachid Choukri","doi":"10.1007/s44146-023-00091-w","DOIUrl":null,"url":null,"abstract":"<div><p>We consider countable extensions of commutative and unital Banach algebras. We study these Banach algebra structures with or without assuming the continuity of the canonical injection. We also prove that a countable extension endowed with a Banach algebra norm with continuous injection is actually a finite extension.\n</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"89 3-4","pages":"501 - 508"},"PeriodicalIF":0.5000,"publicationDate":"2023-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On integral extensions of Banach algebras\",\"authors\":\"Sara El Kinani, Rachid Choukri\",\"doi\":\"10.1007/s44146-023-00091-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We consider countable extensions of commutative and unital Banach algebras. We study these Banach algebra structures with or without assuming the continuity of the canonical injection. We also prove that a countable extension endowed with a Banach algebra norm with continuous injection is actually a finite extension.\\n</p></div>\",\"PeriodicalId\":46939,\"journal\":{\"name\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"volume\":\"89 3-4\",\"pages\":\"501 - 508\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-06-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s44146-023-00091-w\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACTA SCIENTIARUM MATHEMATICARUM","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s44146-023-00091-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
We consider countable extensions of commutative and unital Banach algebras. We study these Banach algebra structures with or without assuming the continuity of the canonical injection. We also prove that a countable extension endowed with a Banach algebra norm with continuous injection is actually a finite extension.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
