On Weaving Frames in Hilbert Spaces
Operators and matrices(2023)
摘要
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.
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关键词
Frames,weaving frames,Hilbert space,perturbation
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