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- Title
Detailed Characterization of Conditions for the Unconditional Convergence and Invertibility of Multipliers.
- Authors
Stoeva, Diana T.; Balazs, Peter
- Abstract
In this paper we investigate the unconditional convergence and invertibility of multipliers Mm,Φ,Ψ depending on the properties of the sequences Ψ, Φ and m. We determine if unconditional convergence and invertibility is always, some- times or never possible for the complete set of possibilities for the sequences Φ and Ψ: non-Bessel sequences, Bessel non-frames, frames non-Riesz bases, Riesz bases, combined with all the possibilities for norm-boundedness; and varying the weighting sequence m to be semi-normalized, bounded or non-bounded. The results are collected in tables as a convenient reference.
- Subjects
STOCHASTIC convergence; MULTIPLIERS (Mathematical analysis); RIESZ spaces; BESSEL functions; ACQUISITION of data
- Publication
Sampling Theory in Signal & Image Processing, 2013, Vol 12, Issue 2/3, p87
- ISSN
1530-6429
- Publication type
Article
- DOI
10.1007/bf03549563