Characterizations of (near) exact g-frames, g-Riesz bases, and Besselian g-frames
Copyright policy )Characterizations of (near) exact g-frames, g-Riesz bases, and Besselian g-frames
In this paper, we use a new general sequence corresponding to a [Formula: see text]-Bessel sequence [Formula: see text] to characterize that [Formula: see text] are [Formula: see text]-linear independent, [Formula: see text]-complete and a [Formula: see text]-frame. We also use [Formula: see text] and the refinement [Formula: see text] to characterize each other to be (near) exact [Formula: see text]-frames or [Formula: see text]-Riesz bases. Finally, we give several constructions and an equivalent characterization of Besselian [Formula: see text]-frames and near exact [Formula: see text]-frames.
- Xiamen University of Technology China (People's Republic of)
- Fuzhou University China (People's Republic of)
\(g\)-Riesz basis, exact \(g\)-frame, Besselian \(g\)-frame, General harmonic expansions, frames, Nontrigonometric harmonic analysis involving wavelets and other special systems, \(g\)-frame, \(g\)-complete
\(g\)-Riesz basis, exact \(g\)-frame, Besselian \(g\)-frame, General harmonic expansions, frames, Nontrigonometric harmonic analysis involving wavelets and other special systems, \(g\)-frame, \(g\)-complete
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