On stability of g-frames and g-Riesz bases in Hilbert C*-modules

DOI10.1142/S0219691314500362zbMath1317.42029MaRDI QIDQ5248159

Mehdi Rashidi Kouchi, Akbar Nazari, Massoud Amini

Publication date: 27 April 2015

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

zbMATH Keywords

g-frameg-Riesz basisperturbation theoremHilbert C\(^{\ast}\) module

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Nontrigonometric harmonic analysis (42C99)

Related Items (8)

On controlled frames in Hilbert C∗-modules ⋮ K-G-Frames and G-Atomic Systems in Hilbert Pro-C*-Modules ⋮ $G$-dual Frames in Hilbert $C^{*}$-module Spaces ⋮ Erasures and perturbations of g-frames and fusion frames in Hilbert C∗-modules ⋮ A note on the stability of g-frames in Hilbert C^*-modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Stability of Gabor frames with arbitrary sampling points
• Perturbation of frames and Riesz bases in Hilbert \(C^*\)-modules
• Some properties of g-frames in Hilbert \(C^{*}\)-modules
• Stability theorems for Fourier frames and wavelet Riesz bases
• Perturbation of operators and applications to frame theory
• On the stability of frames and Riesz bases
• Frames and bases in tensor products of Hilbert spaces and Hilbert \(C^*\)-modules
• Riesz bases and their dual modular frames in Hilbert \(C^*\)-modules
• \(g\)-frames and \(g\)-Riesz bases
• FUSION FRAMES AND g-FRAMES IN HILBERT C*-MODULES
• Painless nonorthogonal expansions
• Ten Lectures on Wavelets
• On the stability of Gabor frames

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