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.
K.: WeavingK-frames in Hilbert spaces,Results Math.,73, No
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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.