Frames and outer frames for Hilbert -modules

DOI10.1080/03081087.2016.1186588zbMath1367.46048arXiv1507.04101OpenAlexW2963052010MaRDI QIDQ2961478

Ljiljana Arambašić, Damir Bakić

Publication date: 20 February 2017

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

Full work available at URL: https://arxiv.org/abs/1507.04101

zbMATH Keywords

perturbationframedual frameHilbert \(C^*\)-moduleouter frame

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05) General harmonic expansions, frames (42C15)

Related Items (16)

New inequalities of \(K\)-g-frames in submodules ⋮ Non-commutative vector bundles for non-unital algebras ⋮ Topological and frame properties of certain pathological \(C^{\ast}\)-algebras ⋮ A Hilbert \(C^*\)-module with extremal properties ⋮ Weaving frames in Hilbert \(C^\ast\)-modules ⋮ On \(K\)-woven frames in Hilbert \(C^\ast\)-modules ⋮ Invertibility of g-frame multipliers and Bessel multipliers for unitary systems in Hilbert C*-modules ⋮ Modulation spaces as a smooth structure in noncommutative geometry ⋮ Heisenberg modules as function spaces ⋮ Geometric essence of ``compact operators on Hilbert \(C^\ast\)-modules ⋮ On \(K\)-frame generators for unitary systems in Hilbert \(C^\ast\)-modules ⋮ Modular Riesz bases versus Riesz bases in Hilbert C∗-modules ⋮ Weak frames in Hilbert \(C^*\)-modules with application in Gabor analysis ⋮ On approximately dual frames for Hilbert C*-modules ⋮ Frame of translates and FMRA on L2(ℝ, ℂN) as a Hilbert MN(ℂ)-module ⋮ Hilbert \(C^{*}\)-modules in which all relatively strictly closed submodules are complemented

Cites Work

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• Perturbation of frames and Riesz bases in Hilbert \(C^*\)-modules
• Perturbation of operators and applications to frame theory
• Finite extensions of Bessel sequences
• Riesz bases and their dual modular frames in Hilbert \(C^*\)-modules
• On excesses of frames
• Oblique projections and frames
• On frames for countably generated Hilbert 𝐶*-modules
• Frame representations and Parseval duals with applications to Gabor frames
• A Hilbert C*-module admitting no frames
• Countably generated Hilbert modules, the Kasparov Stabilisation Theorem, and frames in Hilbert modules

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