Perturbation of frames and Riesz bases in Hilbert \(C^*\)-modules

DOI10.1016/j.laa.2009.03.025zbMath1173.46039OpenAlexW1989659054MaRDI QIDQ1030737

Wu Jing, Ram N. Mohapatra, De Guang Han

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.025

zbMATH Keywords

Riesz basisperturbationHilbert spaceframeHilbert \(C^*\)-module

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (15)

g-FRAMES AND MODULAR RIESZ BASES IN HILBERT C*-MODULES ⋮ Invertibility of Generalized Bessel multipliers in Hilbert $C^{*}$-modules ⋮ Weaving frames in Hilbert \(C^\ast\)-modules ⋮ On controlled frames in Hilbert C∗-modules ⋮ Dilation of dual frame pairs in Hilbert \(C^*\)-modules ⋮ Frames and outer frames for Hilbert -modules ⋮ Modular frames and invertibility of multipliers in Hilbert C*-modules ⋮ Unnamed Item ⋮ Averaged controllability of parameter dependent conservative semigroups ⋮ Erasures and perturbations of g-frames and fusion frames in Hilbert C∗-modules ⋮ Frames in Semi-inner Product Spaces ⋮ Unnamed Item ⋮ On stability of g-frames and g-Riesz bases in Hilbert C*-modules ⋮ On approximately dual frames for Hilbert C*-modules ⋮ Unnamed Item

Cites Work

• Stability theorems for Fourier frames and wavelet Riesz bases
• Perturbation of operators and applications to frame theory
• Riesz bases and their dual modular frames in Hilbert \(C^*\)-modules
• On frames for countably generated Hilbert 𝐶*-modules
• Frame Perturbations
• A Paley-Wiener Theorem for Frames
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