Perturbed Hilbert-Schmidt frames remain frames under quantitative stability criteria that depend on perturbation size and the number of changed elements for finite cases, and on global control for infinite cases.
G., Christensen, O.: Perturbation of operators and applications to frame theory,J
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On perturbation of Hilbert-Schmidt frames
Perturbed Hilbert-Schmidt frames remain frames under quantitative stability criteria that depend on perturbation size and the number of changed elements for finite cases, and on global control for infinite cases.