We discuss some perturbation results concerning certain pairs of sequences of vectors in a Hilbert space H and producing new sequences, which share, with the original ones, reconstruction formulas on a dense subspace of H or on the whole space. We also propose some preliminary results on the same issue, but in a distributional settings.
Bagarello F., Corso R. (2023). Some perturbation results for quasi-bases and other sequences of vectors. JOURNAL OF MATHEMATICAL PHYSICS, 64(4), 1-14 [10.1063/5.0131314].
Some perturbation results for quasi-bases and other sequences of vectors
Bagarello F.
;Corso R.
2023-01-01
Abstract
We discuss some perturbation results concerning certain pairs of sequences of vectors in a Hilbert space H and producing new sequences, which share, with the original ones, reconstruction formulas on a dense subspace of H or on the whole space. We also propose some preliminary results on the same issue, but in a distributional settings.
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