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arXiv · 1504.06504

Some properties of operator-valued frames

L. Gavruta·P. Gavruta
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Abstract

Operator-valued frames (or g-frames) are generalizations of frames and fusion frames and have been used in packets encoding, quantum computing, theory of coherent states and more. In this paper, we give a new formula for operator-valued frames for finite dimensional Hilbert spaces. As an application, we derive in a simple manner a recent result of A. Najati concerning the approximation of g-frames by Parseval ones. We obtain also some results concerning the best approximation of operator-valued frames by its alternate duals, with optimal estimates.

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L. Gavruta, P. Gavruta. 2015-04-24. Some properties of operator-valued frames. https://arxiv.org/abs/1504.06504

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