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.
"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