K-FUSION FRAMES IN QUATERNIONIC HILBERT SPACES

S. Sharma, Nitin Sharma, K. Poumai
{"title":"K-FUSION FRAMES IN QUATERNIONIC HILBERT SPACES","authors":"S. Sharma, Nitin Sharma, K. Poumai","doi":"10.46753/pjaa.2023.v010i01.009","DOIUrl":null,"url":null,"abstract":". In [26] authors have defined and studied K -fusion frames in Hilbert spaces. Motivated by [26], we define K -fusion frames in Quaternionic Hilbert spaces and study their perturbations. Further, we define the woven K -fusion frames in Quaternionic Hilbert spaces. Finally, we study the Paley-Wiener type perturbation for weaving K -fusion frames in quaternionic Hilbert spaces.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2023.v010i01.009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

. In [26] authors have defined and studied K -fusion frames in Hilbert spaces. Motivated by [26], we define K -fusion frames in Quaternionic Hilbert spaces and study their perturbations. Further, we define the woven K -fusion frames in Quaternionic Hilbert spaces. Finally, we study the Paley-Wiener type perturbation for weaving K -fusion frames in quaternionic Hilbert spaces.
四元Hilbert空间中的k -融合帧
在[26]中,作者定义并研究了Hilbert空间中的K-融合框架。受[26]的启发,我们定义了四元数Hilbert空间中的K-融合框架,并研究了它们的扰动。进一步定义了四元数Hilbert空间中的编织K-融合框架。最后,我们研究了在四元数Hilbert空间中编织K-融合框架的Paley Wiener型扰动。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Poincare Journal of Analysis and Applications
Poincare Journal of Analysis and Applications Mathematics-Applied Mathematics
CiteScore
0.60
自引率
0.00%
发文量
0
×
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
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信