{"title":"Invariance of K-Frames in Hilbert Spaces","authors":"Li Xujin, L. Jinsong","doi":"10.1109/ICCWAMTIP56608.2022.10016551","DOIUrl":null,"url":null,"abstract":"Frame theory as a further development of wavelet theory, and K-frames are a further expansion of the general concept of frames. This article focuses on the property that K-frames remain invariant under the action of some specific linear operators. Moreover, a perturbation analysis of K-frames with the help of some mathematical tools gives frame-bound estimates for K-frames.","PeriodicalId":159508,"journal":{"name":"2022 19th International Computer Conference on Wavelet Active Media Technology and Information Processing (ICCWAMTIP)","volume":"124 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 19th International Computer Conference on Wavelet Active Media Technology and Information Processing (ICCWAMTIP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCWAMTIP56608.2022.10016551","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
Frame theory as a further development of wavelet theory, and K-frames are a further expansion of the general concept of frames. This article focuses on the property that K-frames remain invariant under the action of some specific linear operators. Moreover, a perturbation analysis of K-frames with the help of some mathematical tools gives frame-bound estimates for K-frames.