Perturbations of Fusion Frames and the Effect on Their Canonical Dual

摘要

Measurements in real world applications are often corrupted by noise due to exterior influences. It is therefore convenient to investigate perturbations of the utilized measurement systems. In the present paper, we consider small perturbations of fusion frames in Hilbert spaces and study the effect on the canonical duals of orignal and perturbed fusion frame. It turns out that the duals are stable under these perturbations.