四元数HILBERT空间中的编织K框架

Poincare Journal of Analysis and Applications Pub Date : 2022-12-31 DOI:10.46753/pjaa.2022.v09i02.016

Nitin Sharma, †. S.K.SHARMA, And Khole, Timothy Poumai, †. ShashankGoel

{"title":"四元数HILBERT空间中的编织K框架","authors":"Nitin Sharma, †. S.K.SHARMA, And Khole, Timothy Poumai, †. ShashankGoel","doi":"10.46753/pjaa.2022.v09i02.016","DOIUrl":null,"url":null,"abstract":". In this paper, we have defined and studied woven K -frames in quaternionic Hilbert spaces. Also, we have studied conditions under which a woven frame( K -frame) form a woven K -frame. Further, we have studied conditions under which a bounded image of woven K -frame forms a woven K -frame. Finally, we prove a perturbation result for woven K -frames in quaternionic Hilbert spaces.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"WOVEN K-FRAMES IN QUATERNIONIC HILBERT SPACES\",\"authors\":\"Nitin Sharma, †. S.K.SHARMA, And Khole, Timothy Poumai, †. ShashankGoel\",\"doi\":\"10.46753/pjaa.2022.v09i02.016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we have defined and studied woven K -frames in quaternionic Hilbert spaces. Also, we have studied conditions under which a woven frame( K -frame) form a woven K -frame. Further, we have studied conditions under which a bounded image of woven K -frame forms a woven K -frame. Finally, we prove a perturbation result for woven K -frames in quaternionic Hilbert spaces.\",\"PeriodicalId\":37079,\"journal\":{\"name\":\"Poincare Journal of Analysis and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-31\",\"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.2022.v09i02.016\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2022.v09i02.016","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

本文定义并研究了四元数Hilbert空间中的编织K-框架。此外，我们还研究了编织框架（K框架）形成编织K框架的条件。此外，我们还研究了编织K-框架的有界图像形成编织K-帧的条件。最后，我们证明了四元数Hilbert空间中编织K帧的扰动结果。

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

WOVEN K-FRAMES IN QUATERNIONIC HILBERT SPACES

. In this paper, we have defined and studied woven K -frames in quaternionic Hilbert spaces. Also, we have studied conditions under which a woven frame( K -frame) form a woven K -frame. Further, we have studied conditions under which a bounded image of woven K -frame forms a woven K -frame. Finally, we prove a perturbation result for woven K -frames in quaternionic Hilbert spaces.

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

Poincare Journal of Analysis and Applications Mathematics-Applied Mathematics

CiteScore

0.60

自引率

0.00%

发文量