{"title":"四维Euler-Totient矩阵算子与某些二重序列空间","authors":"Sezer Erdem, Serkan Demiriz","doi":"10.36753/mathenot.733364","DOIUrl":null,"url":null,"abstract":"Our main purpose in this study is to investigate the matrix domains of the 4-dimensional Euler-totient matrix operator on the classical double sequence spaces M u , C p , C bp and C r . Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces. Also, the α − , β ( ϑ ) − and γ − duals of these spaces are determined and finally, some matrix classes are characterized.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1962 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"4-Dimensional Euler-Totient Matrix Operator and Some Double Sequence Spaces\",\"authors\":\"Sezer Erdem, Serkan Demiriz\",\"doi\":\"10.36753/mathenot.733364\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Our main purpose in this study is to investigate the matrix domains of the 4-dimensional Euler-totient matrix operator on the classical double sequence spaces M u , C p , C bp and C r . Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces. Also, the α − , β ( ϑ ) − and γ − duals of these spaces are determined and finally, some matrix classes are characterized.\",\"PeriodicalId\":127589,\"journal\":{\"name\":\"Mathematical Sciences and Applications E-Notes\",\"volume\":\"1962 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Sciences and Applications E-Notes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36753/mathenot.733364\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences and Applications E-Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36753/mathenot.733364","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
摘要
本研究的主要目的是研究经典二重序列空间M u, C p, C bp和C r上的四维欧拉-全域矩阵算子的矩阵域。此外，我们研究了它们的拓扑和代数性质，并给出了新空间的包含关系。此外，还确定了这些空间的α−、β (ν)−和γ−对偶，并对一些矩阵类进行了表征。
4-Dimensional Euler-Totient Matrix Operator and Some Double Sequence Spaces
Our main purpose in this study is to investigate the matrix domains of the 4-dimensional Euler-totient matrix operator on the classical double sequence spaces M u , C p , C bp and C r . Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces. Also, the α − , β ( ϑ ) − and γ − duals of these spaces are determined and finally, some matrix classes are characterized.
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