On perturbations of woven pairs of frames. (English) Zbl 1497.42056
In this paper, the notion of woven pairs in terms of the synthesis operators of the frames has been studied. Some simpler proofs of the results related to small perturbation of a frame for a Hilbert space \(\mathcal H\) to have a woven pair for \(\mathcal H\) have been obtained. Finally, a characterization of woven pairs in terms of the angle between the null space of some operators and a family of ranges of obliques projections has been obtained.
Reviewer: Devendra Kumar (Al-Baha)
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