Open Access
December 2021 A note on operator perturbation of woven frames
Zhong-Qi Xiang, Xiang-Chun Xiao
Proc. Japan Acad. Ser. A Math. Sci. 97(10): 87-92 (December 2021). DOI: 10.3792/pjaa.97.017

Abstract

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.

Citation

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Zhong-Qi Xiang. Xiang-Chun Xiao. "A note on operator perturbation of woven frames." Proc. Japan Acad. Ser. A Math. Sci. 97 (10) 87 - 92, December 2021. https://doi.org/10.3792/pjaa.97.017

Information

Published: December 2021
First available in Project Euclid: 21 December 2021

MathSciNet: MR4355064
zbMATH: 1483.42021
Digital Object Identifier: 10.3792/pjaa.97.017

Subjects:
Primary: 42C15
Secondary: ‎42C40 , 65T60

Keywords: operator perturbation , pseudo-inverse , Weaving frame , woven frame operator

Rights: Copyright © 2021 The Japan Academy

Vol.97 • No. 10 • December 2021
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