ON WEAVING FRAMES IN HILBERT SPACES

In this paper, we obtain some new properties of weaving frames and present some conditions under which a family of frames is woven in Hilbert spaces. Some characterizations of weaving frames in terms of operators are given. We also give a condition associated with synthesis operators of frames such that the sequence of frames is woven. Finally, for a family of woven frames, we show that they are stable under invertible operators and small perturbations.

Automated summary

This paper investigates some new properties of weaving frames and provides conditions for a family of frames to be woven in Hilbert spaces. Characterizations of weaving frames in terms of operators are discussed. Additionally, a condition associated with the synthesis operators of frames is introduced to determine if the sequence of frames is woven. Finally, the paper proves the stability of a family of woven frames under invertible operators and small perturbations.