Some results about operator perturbation of fusion frames in Hilbert spaces

DOI10.1016/j.jmaa.2014.07.068zbMath1297.42046OpenAlexW2009709824MaRDI QIDQ743208

Yu-Can Zhu, Xue-Bin Li, Shouzhi Yang

Publication date: 23 September 2014

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.2014.07.068

zbMATH Keywords

gapHilbert spacesfusion framesfusion frame sequencesoperator perturbation

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General harmonic expansions, frames (42C15)

Related Items (9)

Fusion-Riesz frame in Hilbert space ⋮ Relay fusion frames and bridging results for fusion frames ⋮ A note on perturbations of fusion frames ⋮ Weaving Hilbert space fusion frames ⋮ Dual and approximately dual Hilbert-Schmidt frames in Hilbert spaces ⋮ On the sum of generalized frames in Hilbert spaces ⋮ Perturbations on \(K\)-fusion frames ⋮ On the sum of K-frames in Hilbert spaces ⋮ \(K\)-g-fusion frames in Hilbert spaces

Cites Work

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• New characterizations of fusion frames (frames of subspaces)
• Fusion frames and distributed processing
• On the duality of fusion frames
• Some properties of frames of subspaces obtained by operator theory methods
• Frames and bases of subspaces in Hilbert spaces
• Frames and bases. An introductory course
• Sigma-delta (/spl Sigma//spl Delta/) quantization and finite frames
• New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
• A Class of Nonharmonic Fourier Series

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