Operator representations of g-frames in Hilbert spaces

DOI10.1080/03081087.2019.1566428zbMath1448.42036OpenAlexW2908835223WikidataQ114641308 ScholiaQ114641308MaRDI QIDQ5125850

Dongwei Li, Jin-Song Leng

Publication date: 2 October 2020

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1566428

zbMATH Keywords

perturbation\(g\)-framesoperator representation

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Special classes of linear operators (47B99)

Related Items

On \(g\)-frame representations via linear operators ⋮ Unnamed Item

Cites Work

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• Nonlinear frames and sparse reconstructions in Banach spaces
• Stability of \(g\)-frames
• Fusion frames and distributed processing
• Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors
• Operator representations of frames: boundedness, duality, and stability
• Generalized frames for operators associated with atomic systems
• Dynamical sampling and frame representations with bounded operators
• Oblique dual frames and shift-invariant spaces
• Pseudoframes for subspaces with applications
• Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\)
• Every Hilbert space frame has a Naimark complement
• Fusion frames and \(g\)-frames
• \(g\)-frames and \(g\)-Riesz bases
• Painless nonorthogonal expansions
• On sum and stability of g-frames in Hilbert spaces
• 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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