Natural Science, Mathematics, 2025
Some Results on Perturbation of Duality of OPV-Frames
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Submitted: 2024-12-02; Published: 2024-12-02
© 2024 by author(s) and The Gufo Inc.
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Abstract
In this paper, we consider a perturbation of operator-valued frames (OPV-frames) and obtain conditions for their stability in terms of operators associated with the OPV-frames. Also, some duality relations of OPV-frames are discussed. Finally, some properties of the duals of OPV-frames are proven.