Open Access
Translator Disclaimer
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

Download Citation

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

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

JOURNAL ARTICLE
6 PAGES


SHARE
Vol.97 • No. 10 • December 2021
Back to Top