Estimate of the spectral radii of Bessel multipliers and consequences

Abstract

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.

Keywords

• Bessel multipliers
• dual frames
• spectral radius
• spectrum

Supporting Institution

European Union

Project Number

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

Thanks

European Union, GNAMPA-INdAM

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