I- 内积空间子空间序列的收敛性

Prasanta Malik, Saikat Das
{"title":"I- 内积空间子空间序列的收敛性","authors":"Prasanta Malik, Saikat Das","doi":"10.56947/gjom.v17i1.2082","DOIUrl":null,"url":null,"abstract":"In this paper we introduce the notion of ℑ-convergence of sequences of k-dimensional subspaces of an inner product space, where ℑ is an ideal of subsets of ℕ, the set of all natural numbers and k⊂ℕ. We also study some basic properties of this notion.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"51 6","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"I- Convergence of sequences of subspaces in an inner product space\",\"authors\":\"Prasanta Malik, Saikat Das\",\"doi\":\"10.56947/gjom.v17i1.2082\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce the notion of ℑ-convergence of sequences of k-dimensional subspaces of an inner product space, where ℑ is an ideal of subsets of ℕ, the set of all natural numbers and k⊂ℕ. We also study some basic properties of this notion.\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"51 6\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gulf Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/gjom.v17i1.2082\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gulf Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/gjom.v17i1.2082","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

本文介绍了内积空间 k 维子空间序列的ℑ-收敛概念,其中ℑ是所有自然数的集合ℕ的理想子集,而 k⊂ℕ是所有自然数的集合。我们还将研究这一概念的一些基本性质。
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
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
I- Convergence of sequences of subspaces in an inner product space
In this paper we introduce the notion of ℑ-convergence of sequences of k-dimensional subspaces of an inner product space, where ℑ is an ideal of subsets of ℕ, the set of all natural numbers and k⊂ℕ. We also study some basic properties of this notion.
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
自引率
0.00%
发文量
0
期刊最新文献
Existence of weak solutions for a class of (p(u),q(u))-Laplacian problems Local derivations and Rota-Baxter operators of quantum Lotka-Volterra algebras on M_2(C) The power serieswise Armendariz graph of a commutative ring Lattice of c-structures Existence and multiplicity results for Kirchhoff-type superlinear problems involving the fractional p(x)-Laplacian satisfying (C)-condition
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1