Some properties of g-frames in Hilbert \(C^{*}\)-modules

DOI10.1016/j.jmaa.2009.08.043zbMath1189.46050OpenAlexW2070951807MaRDI QIDQ1046493

Xiao-Ming Zeng, Xiang Chun Xiao

Publication date: 22 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.08.043

zbMATH Keywords

Hilbert \(C^*\)-moduleg-frame

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05) General harmonic expansions, frames (42C15)

Related Items (20)

New inequalities of \(K\)-g-frames in submodules ⋮ g-FRAMES AND MODULAR RIESZ BASES IN HILBERT C*-MODULES ⋮ Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules ⋮ Invertibility of multipliers in Hilbert C*-modules ⋮ Exact \(K\)-g-frames in Hilbert spaces ⋮ Some properties of c-K-g-frames in Hilbert C*-modules ⋮ K-Riesz bases and K-g-Riesz bases in Hilbert C∗-module ⋮ Invertibility of g-frame multipliers and Bessel multipliers for unitary systems in Hilbert C*-modules ⋮ (F,G)-operator frames for ℒ(ℋ,𝒦) ⋮ Some properties of g-p-frames in complex Banach spaces ⋮ G-frames for operators in Hilbert $C^{\ast}$-modules ⋮ Continuous \(g\)-frame in Hilbert \(C^{\ast}\)-modules ⋮ On stability of G-frames in Hilbert pro-\(C^\ast\)-modules ⋮ 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 ⋮ On some equalities and inequalities of fusion frame in Hilbert $C^*$-modules ⋮ On stability of g-frames and g-Riesz bases in Hilbert C*-modules ⋮ Bessel multipliers in Hilbert \(C^\ast\)-modules ⋮ Unnamed Item

Cites Work

• Stability of \(g\)-frames
• Grassmannian frames with applications to coding and communication
• Optimal frames for erasures.
• Tight frame: an efficient way for high-resolution image reconstruction
• Frames and bases in tensor products of Hilbert spaces and Hilbert \(C^*\)-modules
• On the duality of fusion frames
• On some identities and inequalities for frames in Hilbert spaces
• \(g\)-frames and \(g\)-Riesz bases
• On frames for countably generated Hilbert 𝐶*-modules
• A new identity for Parseval frames
• FUSION FRAMES AND g-FRAMES IN HILBERT C*-MODULES
• Painless nonorthogonal expansions
• A Construction of Rational Wavelets and Frames in Hardy--Sobolev Spaces With Applications to System Modeling
• Optimal tight frames and quantum measurement
• A Class of Nonharmonic Fourier Series
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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