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

Autor: Bagarello, Fabio, Corso, Rosario
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1063/5.0131314
Popis: 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.
Comment: To appear in Journal of Mathematical Physics
Databáze: arXiv