Riesz bases and their dual modular frames in Hilbert \(C^*\)-modules

DOI10.1016/j.jmaa.2008.01.013zbMath1185.46040OpenAlexW1998376608MaRDI QIDQ2427265

Ram N. Mohapatra, Wu Jing, David R. Larson, De Guang Han

Publication date: 8 May 2008

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.2008.01.013

zbMATH Keywords

Riesz basis\(C^*\)-algebraframedual frame\(C^*\)-modulemodular frame

Mathematics Subject Classification ID

(C^*)-modules (46L08) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

g-FRAMES AND MODULAR RIESZ BASES IN HILBERT C*-MODULES ⋮ Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules ⋮ Invertibility of multipliers in Hilbert C*-modules ⋮ Dilations of *-frames and their operator duals ⋮ Weaving frames in Hilbert \(C^\ast\)-modules ⋮ On \(K\)-woven 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 ⋮ K-Riesz bases and K-g-Riesz bases in Hilbert C∗-module ⋮ Modular frames and invertibility of multipliers in Hilbert C*-modules ⋮ $G$-dual Frames in Hilbert $C^{*}$-module Spaces ⋮ Unnamed Item ⋮ Pair frames in Hilbert \(C^*\)-modules ⋮ Frames in Semi-inner Product Spaces ⋮ Some generalizations of frames in Hilbert modules ⋮ Perturbation of frames and Riesz bases in Hilbert \(C^*\)-modules ⋮ Modular Riesz bases versus Riesz bases in Hilbert C∗-modules ⋮ Similar generalized frames ⋮ Unnamed Item ⋮ On stability of g-frames and g-Riesz bases in Hilbert C*-modules ⋮ Approximate duals and morphisms of Hilbert \(C^*\)-modules ⋮ Bessel multipliers in Hilbert \(C^\ast\)-modules ⋮ On approximately dual frames for Hilbert C*-modules ⋮ Unnamed Item

Cites Work

• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
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• Frames, bases and group representations
• Countably generated Hilbert modules, the Kasparov Stabilisation Theorem, and frames in Hilbert modules
• Inner Product Modules Over B ∗ -Algebras
• A Class of Nonharmonic Fourier Series
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