Equivalence relations and distances between Hilbert frames

Balan, Radu

doi:10.1090/S0002-9939-99-04826-1

Equivalence relations and distances between Hilbert frames
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by Radu Balan PDF

Proc. Amer. Math. Soc. 127 (1999), 2353-2366 Request permission

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.

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