{"title":"Description of Maximal Ideal Space of Some Banach Algebra with Multiplication as Duhamel Product","authors":"M. Karaev, H. Tuna †","doi":"10.1080/02781070410001722332","DOIUrl":null,"url":null,"abstract":"Let denote the vector space of complex-valued functions that are continuous on the closed unit disk and have nth order derivatives in D, which can be extended to functions continuous on . Let denote the subspace of the functions which are analytic in D. We prove that is a Banach algebra with multiplication as Duhamel product and describe its maximal ideal space. We also describe commutant and strong cyclic vectors of the integration operator","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables, Theory and Application: An International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/02781070410001722332","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 17
Abstract
Let denote the vector space of complex-valued functions that are continuous on the closed unit disk and have nth order derivatives in D, which can be extended to functions continuous on . Let denote the subspace of the functions which are analytic in D. We prove that is a Banach algebra with multiplication as Duhamel product and describe its maximal ideal space. We also describe commutant and strong cyclic vectors of the integration operator
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
