SOME PROPERTIES OF OPERATOR-VALUED FRAMES
摘要
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.
引用本文（GB/T 7714）
Laura, Gavruta, Pasc. SOME PROPERTIES OF OPERATOR-VALUED FRAMES[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2016.
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