6533b7d8fe1ef96bd126aead

RESEARCH PRODUCT

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

Fabio BagarelloRosario Corso

subject

Mathematics - Functional Analysisperturbationsquasi-baseSettore MAT/05 - Analisi MatematicaFOS: MathematicsFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Settore MAT/07 - Fisica MatematicaMathematical PhysicsFunctional Analysis (math.FA)

description

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.

10.1063/5.0131314http://arxiv.org/abs/2303.10060