An operator theory approach to the approximate duality of Hilbert space frames

DOI10.1016/j.jmaa.2020.124177zbMath1440.42143OpenAlexW3022179037MaRDI QIDQ2183624

Morteza Mirzaee Azandaryani

Publication date: 27 May 2020

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.2020.124177

zbMATH Keywords

Hilbert spaceframeBessel multiplierapproximate dualitythe closeness of frames

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (3)

Q-duals and Q-approximate duals of g-frames in Hilbert spaces ⋮ Pseudo-duals of continuous frames in Hilbert spaces ⋮ Duals and approximate duals of von Neumann-Schatten \(p\)-frames

Cites Work

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• Dual fusion frames
• Basic definition and properties of Bessel multipliers
• The road to equal-norm Parseval frames
• Deficits and excesses of frames
• Canonical forms of unconditionally convergent multipliers
• Scalable frames
• Approximate duality of g-frames in Hilbert spaces
• Frames and bases. An introductory course
• On excesses of frames
• Approximate duals and nearly Parseval frames
• HILBERT–SCHMIDT OPERATORS AND FRAMES — CLASSIFICATION, BEST APPROXIMATION BY MULTIPLIERS AND ALGORITHMS
• Painless nonorthogonal expansions
• Equivalence relations and distances between Hilbert frames
• Pre-Frame Operators, Besselian Frames, and Near-Riesz Bases in Hilbert Spaces
• Frame Perturbations
• A Paley-Wiener Theorem for Frames
• On general frame decompositions
• Dual Gabor frames: theory and computational aspects
• A Class of Nonharmonic Fourier Series

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