Perturbations of frames

DOI10.1007/s10114-014-2804-5zbMath1311.46007arXiv1312.3460OpenAlexW1981020697MaRDI QIDQ477798

Dong Yang Chen, Ben Tuo Zheng, Lei Li

Publication date: 10 December 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3460

zbMATH Keywords

perturbationSchauder framesHilbert framesnear-Riesz basis

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

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Cites Work

• Coefficient quantization for frames in Banach spaces
• Perturbation of operators and applications to frame theory
• On the stability of frames and Riesz bases
• A characterization of Schauder frames which are near-Schauder bases
• The Reconstruction Property in Banach Spaces and a Perturbation Theorem
• Generalizing the Paley-Wiener perturbation theory for Banach spaces
• Perturbations of Banach Frames and Atomic Decompositions
• Frame Perturbations
• A Paley-Wiener Theorem for Frames
• An introduction to frames and Riesz bases
• Perturbation of frames for a subspace of a Hilbert space.
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