Localization of the spectra of dual frames multipliers

Abstract

This paper concerns dual frames multipliers, i.e. operators in Hilbert spaces consisting of analysis, multiplication and synthesis processes, where the analysis and the synthesis are made by two dual frames, respectively. The goal of the paper is to give some results about the localization of the spectra of dual frames multipliers, i.e. to individuate regions of the complex plane containing the spectra using some information about the frames and the symbols.

9 pages

References in corpus (1)

• Distributions Frames and bases

Cited by in corpus (2)

• Some perturbation results for quasi-bases and other sequences of vectors
• Estimate of the spectral radii of Bessel multipliers and consequences