A note on operator perturbation of woven frames

In this paper, we give a necessary and sufficient condition under which a woven frame can be preserved when applying an operator to it, which provides a correction to one existing corresponding result due to Rahimi et al. We also present some new results on the stability of woven frames under pertur...

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Bibliographic Details
Published inProceedings of the Japan Academy. Series A. Mathematical sciences Vol. 97; no. 10; pp. 87 - 92
Main Authors Xiang, Zhong-Qi, Xiao, Xiang-Chun
Format Journal Article
LanguageEnglish
Published Ueno Park The Japan Academy 01.12.2021
Subjects
Applied mathematics
Perturbation
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Summary:In this paper, we give a necessary and sufficient condition under which a woven frame can be preserved when applying an operator to it, which provides a correction to one existing corresponding result due to Rahimi et al. We also present some new results on the stability of woven frames under perturbation of two different operators.
ISSN:0386-2194
DOI:10.3792/pjaa.97.017