Nitin Sharma, †. S.K.SHARMA, And Khole, Timothy Poumai, †. ShashankGoel
{"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}
引用次数: 0
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.