Localization of the spectra of dual frames multipliers
arXiv:2206.05551 · doi:10.33205/cma.1154703
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.
arXiv comment9 pages
References in corpus (8)
- Basic definition and properties of Bessel multipliers
- Multipliers for Continuous Frames in Hilbert Spaces
- Unconditional convergence and invertibility of multipliers
- Representation of the inverse of a frame multiplier
- Non-self-adjoint hamiltonians defined by Riesz bases
- Frame Theory for Signal Processing in Psychoacoustics
- Distributions Frames and bases
- Sesquilinear forms associated to sequences on Hilbert spaces