Some perturbation results for quasi-bases and other sequences of vectors
arXiv:2303.10060 · doi:10.1063/5.0131314
Abstract
We discuss some perturbation results concerning certain pairs of sequences of vectors in a Hilbert space $\Hil$ and producing new sequences which share, with the original ones, { reconstruction formulas on a dense subspace of $\Hil$ or on the whole space}. We also propose some preliminary results on the same issue, but in a distributional settings.
To appear in Journal of Mathematical Physics