Jagat Krishna Pokharel, N. Pahari, Ganesh Bahadur Basnet
{"title":"广义塞萨罗可求和有界向量值序列空间","authors":"Jagat Krishna Pokharel, N. Pahari, Ganesh Bahadur Basnet","doi":"10.3126/nmsr.v41i1.67457","DOIUrl":null,"url":null,"abstract":"This work aims to introduce and study new classes of generalized Cesàro summable vector-valued sequence spaces of bounded type. Besides exploring the completeness of the classes Ces(X, p) and Ces(X, p) ∞ when topologized with suitable natural p-normed, our primary interest is to study the β-dual of Ces(X, p).","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"14 1‐2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized Cesàro Summable Vector Valued Sequence Space of Bounded Type\",\"authors\":\"Jagat Krishna Pokharel, N. Pahari, Ganesh Bahadur Basnet\",\"doi\":\"10.3126/nmsr.v41i1.67457\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work aims to introduce and study new classes of generalized Cesàro summable vector-valued sequence spaces of bounded type. Besides exploring the completeness of the classes Ces(X, p) and Ces(X, p) ∞ when topologized with suitable natural p-normed, our primary interest is to study the β-dual of Ces(X, p).\",\"PeriodicalId\":165940,\"journal\":{\"name\":\"The Nepali Mathematical Sciences Report\",\"volume\":\"14 1‐2\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Nepali Mathematical Sciences Report\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3126/nmsr.v41i1.67457\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Nepali Mathematical Sciences Report","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3126/nmsr.v41i1.67457","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized Cesàro Summable Vector Valued Sequence Space of Bounded Type
This work aims to introduce and study new classes of generalized Cesàro summable vector-valued sequence spaces of bounded type. Besides exploring the completeness of the classes Ces(X, p) and Ces(X, p) ∞ when topologized with suitable natural p-normed, our primary interest is to study the β-dual of Ces(X, p).