{"title":"Spaces of entire functions represented by vector valued Dirichlet series","authors":"G. S. Srivastava, A. Sharma","doi":"10.12697/ACUTM.2015.19.06","DOIUrl":null,"url":null,"abstract":"Let Y be the space of all entire functions f : ℂ2 → E defined by the vector valued Dirichlet series, where E is a complex Banach algebra with the unit element. We study various topologies defined on the space Y and characterize continuous linear transformations on Y.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"86 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12697/ACUTM.2015.19.06","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
Let Y be the space of all entire functions f : ℂ2 → E defined by the vector valued Dirichlet series, where E is a complex Banach algebra with the unit element. We study various topologies defined on the space Y and characterize continuous linear transformations on Y.
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