On some dual frames multipliers with at most countable spectra
arXiv:2109.08127 · doi:10.1007/s10231-021-01176-5
Abstract
A dual frames multiplier is an operator consisting of analysis, multiplication and synthesis processes, where the analysis and the synthesis are made by two dual frames in a Hilbert space, respectively. In this paper we investigate the spectra of some dual frames multipliers giving, in particular, conditions to be at most countable. The contribution extends the results available in literature about the spectra of Bessel multipliers with symbol decaying to zero and of multipliers of dual Riesz bases.
arXiv comment13 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
- Frame Theory for Signal Processing in Psychoacoustics
- On excesses of frames
- Sesquilinear forms associated to sequences on Hilbert spaces
- Some notes about distribution frame multipliers