Minimization of convex functionals over frame operators

Details Minimization of convex functionals over frame operators Minimization of convex functionals over frame operators

2007-10-05

arxiv.org/abs/0710.1258v1

Mathematics

Functional Analysis

Scientific paper

We present results about minimization of convex functionals defined over a finite set of vectors in a finite dimensional Hilbert space, that extend several known results for the Benedetto-Fickus frame potential. Our approach depends on majorization techniques. We also consider some perturbation problems, where a positive perturbation of the frame operator of a set of vectors is realized as the frame operator of a set of vectors which is close to the original one.

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