{"title":"由向量狄利克雷级数表示的整个函数的空间","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":"{\"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}","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}
Spaces of entire functions represented by vector valued Dirichlet series
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.