Estimate of the spectral radii of Bessel multipliers and consequences

Yıl 2023, Cilt: 6 Sayı: 3, 176 - 183, 15.09.2023

Rosario Corso

https://doi.org/10.33205/cma.1323956

Öz

Bessel multipliers are operators defined from two Bessel sequences of elements of a Hilbert space and a complex sequence, and have frame multipliers as particular cases. In this paper an estimate of the spectral radius of a Bessel multiplier is provided involving the cross Gram operator of the two sequences. As an upshot, it is possible to individuate some regions of the complex plane where the spectrum of a multiplier of dual frames is contained.

Anahtar Kelimeler

Bessel multipliers, dual frames, spectral radius, spectrum

Destekleyen Kurum

European Union

Proje Numarası

FSE - REACT EU, PON Ricerca e Innovazione 2014-2020

Teşekkür

European Union, GNAMPA-INdAM

Kaynakça

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