Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663508 | Acta Mathematica Scientia | 2016 | 8 Pages |
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 article, 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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Mathematics
Mathematics (General)