Estimate of the spectral radii of Bessel multipliers and consequences

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Constructive Mathematical Analysis
Volume:6 Issue:3
Estimate of the spectral radii of Bessel multipliers and consequences

Estimate of the spectral radii of Bessel multipliers and consequences

Authors : Rosario CORSO

Pages : 176-183

Doi:10.33205/cma.1323956

View : 64 | Download : 30

Publication Date : 2023-09-15

Article Type : Research Paper

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

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