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Equivalence relations and distances between Hilbert frames
Authors:Radu Balan
Affiliation:Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544
Abstract:We study some equivalency relations between Hilbert frames and closed subspaces of $l^2(mathbf{I})$. We define also a distance between frames and we establish the geometric meaning of this metric. Finally we find the closest and respectively the nearest tight frame to a given frame.

Keywords:Closeness bound   nearness   quadratic distance between frames
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