论向量值差分序列的Orlicz空间c0 (M， (X， ||.||)， _， _)的某种线性结构

The Nepali Mathematical Sciences Report Pub Date : 2022-12-31 DOI:10.3126/nmsr.v39i2.51692

Jhabi Lal Ghimire, N. Pahari

{"title":"论向量值差分序列的Orlicz空间c0 (M， (X， ||.||)， _， _)的某种线性结构","authors":"Jhabi Lal Ghimire, N. Pahari","doi":"10.3126/nmsr.v39i2.51692","DOIUrl":null,"url":null,"abstract":"In this article, we introduce and study a new class c0 (M, (X, ||.||), ā, ᾱ) of normed space (X, ||.||) valued difference sequences with the help of Orlicz function M . This is a generalization of the classical sequence space c0. Our primary interest is to explore some linear structures and investigate the conditions relating to the containment relation of the class c0 (M, (X, ||.||), ā, ᾱ) in terms of different ā and ᾱ.","PeriodicalId":165940,"journal":{"name":"The Nepali Mathematical Sciences Report","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Certain Linear Structure of Orlicz Space c0 (M, (X, ||.||), ā, ᾱ) of Vector Valued Difference Sequence\",\"authors\":\"Jhabi Lal Ghimire, N. Pahari\",\"doi\":\"10.3126/nmsr.v39i2.51692\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we introduce and study a new class c0 (M, (X, ||.||), ā, ᾱ) of normed space (X, ||.||) valued difference sequences with the help of Orlicz function M . This is a generalization of the classical sequence space c0. Our primary interest is to explore some linear structures and investigate the conditions relating to the containment relation of the class c0 (M, (X, ||.||), ā, ᾱ) in terms of different ā and ᾱ.\",\"PeriodicalId\":165940,\"journal\":{\"name\":\"The Nepali Mathematical Sciences Report\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-31\",\"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.v39i2.51692\",\"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.v39i2.51692","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文利用Orlicz函数M引入并研究了赋范空间(X， ||.|)的一类新的值差序列c0 (M， (X， ||.)， _， _)。这是经典序列空间c0的推广。我们的主要兴趣是探索一些线性结构，并研究与类c0 (M， (X， ||.|)，□，□)在不同的□和□上的包容关系有关的条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On Certain Linear Structure of Orlicz Space c0 (M, (X, ||.||), ā, ᾱ) of Vector Valued Difference Sequence

In this article, we introduce and study a new class c0 (M, (X, ||.||), ā, ᾱ) of normed space (X, ||.||) valued difference sequences with the help of Orlicz function M . This is a generalization of the classical sequence space c0. Our primary interest is to explore some linear structures and investigate the conditions relating to the containment relation of the class c0 (M, (X, ||.||), ā, ᾱ) in terms of different ā and ᾱ.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

The Nepali Mathematical Sciences Report

自引率

0.00%

发文量