Approximate oblique dual \(g\)-frames for closed subspaces of Hilbert spaces

DOI10.1007/s00009-023-02421-2zbMath1520.42016OpenAlexW4377983942MaRDI QIDQ6159747

Xiujiao Chi, Peng Tong Li

Publication date: 20 June 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-023-02421-2

zbMATH Keywords

perturbation\(g\)-framesapproximate oblique dualsoblique duals

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General harmonic expansions, frames (42C15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Stability of \(g\)-frames
• Duals of frame sequences
• Quasi-orthogonal decompositions of structured frames.
• Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors
• Von Neumann-Schatten frames in separable Banach spaces
• Oblique dual frames and shift-invariant spaces
• \(g\)-frames and \(g\)-frame sequences in Hilbert spaces
• \(g\)-frames and \(g\)-Riesz bases
• Approximate duality of g-frames in Hilbert spaces
• Frames and bases. An introductory course
• Painless nonorthogonal expansions
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases
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