{"title":"四元Hilbert空间中的k -融合帧","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":"{\"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}","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}
. 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.
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