A note on operator perturbation of woven frames
The paper deals with the operator perturbation of woven frames. The motivation is due to known result [\textit{A. Rahimi} et al., Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 3, Article ID 1950010, 15 p. (2019; Zbl 1417.42037)] which stated that bounded linear operators preserve woven frames if and only if they are invertible. Although, a counter example shows that the ``only if'' part of the result is not true. A correction to this result with some other new results on the stability of woven frames under operator perturbation of two different operators have been given.
scientific article; zbMATH DE number 7473075
scientific article