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.

Corso R. (2023). Estimate of the spectral radii of Bessel multipliers and consequences. CONSTRUCTIVE MATHEMATICAL ANALYSIS, 6(3), 176-183 [10.33205/cma.1323956].

Estimate of the spectral radii of Bessel multipliers and consequences

Corso R.
2023-09-15

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.
15-set-2023
Settore MAT/05 - Analisi Matematica
Corso R. (2023). Estimate of the spectral radii of Bessel multipliers and consequences. CONSTRUCTIVE MATHEMATICAL ANALYSIS, 6(3), 176-183 [10.33205/cma.1323956].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/618599
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