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arXiv · 2303.10060

Some perturbation results for quasi-bases and other sequences of vectors

Fabio Bagarello·Rosario Corso
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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.

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Fabio Bagarello, Rosario Corso. 2023-03-17. Some perturbation results for quasi-bases and other sequences of vectors. https://doi.org/10.1063/5.0131314

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