New characterizations of g-frames and g-Riesz bases

DOI10.1142/S0219691318500534zbMath1401.42035OpenAlexW2886925417MaRDI QIDQ4554311

Dongwei Li, Jin-Song Leng, Ting-Zhu Huang

Publication date: 13 November 2018

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691318500534

zbMATH Keywords

framesexcessg-framesg-Riesz basesg-Bessel sequence

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

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Cites Work

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• Some equalities and inequalities for probabilistic frames
• Random tight frames
• Nonlinear frames and sparse reconstructions in Banach spaces
• The characterization and stability of \(g\)-Riesz frames for super Hilbert space
• Characterizations of \(g\)-frames and \(g\)-Riesz bases in Hilbert spaces
• The road to equal-norm Parseval frames
• Operator characterizations and some properties of \(g\)-frames on Hilbert spaces
• Frames, graphs and erasures
• \(g\)-frames and \(g\)-Riesz bases
• An Introduction to Frames
• Optimal Dual Frames for Communication Coding With Probabilistic Erasures
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases

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