g-FRAMES AND MODULAR RIESZ BASES IN HILBERT C*-MODULES

DOI10.1142/S0219691312500130zbMath1257.46027MaRDI QIDQ2911900

Behrooz Khosravi, Amir Khosravi

Publication date: 3 September 2012

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

Hilbert \(C^\ast\)-module\(g\)-frame\(g\)-Riesz basismodular Riesz basismodular \(g\)-Riesz basis

Mathematics Subject Classification ID

(C^*)-modules (46L08) General harmonic expansions, frames (42C15) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (15)

Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules ⋮ Invertibility of Generalized Bessel multipliers in Hilbert $C^{*}$-modules ⋮ Invertibility of multipliers in Hilbert C*-modules ⋮ On controlled frames in Hilbert C∗-modules ⋮ Unnamed Item ⋮ Invertibility of g-frame multipliers and Bessel multipliers for unitary systems in Hilbert C*-modules ⋮ Pair frames in Hilbert \(C^*\)-modules ⋮ Erasures and perturbations of g-frames and fusion frames in Hilbert C∗-modules ⋮ Some generalizations of frames in Hilbert modules ⋮ Modular Riesz bases versus Riesz bases in Hilbert C∗-modules ⋮ Similar generalized frames ⋮ Unnamed Item ⋮ Approximate duals and morphisms of Hilbert \(C^*\)-modules ⋮ *-Controlled frames in Hilbert C*-modules ⋮ Bessel multipliers in Hilbert \(C^\ast\)-modules

Cites Work

• Perturbation of frames and Riesz bases in Hilbert \(C^*\)-modules
• Some properties of g-frames in Hilbert \(C^{*}\)-modules
• Frames and bases in tensor products of Hilbert spaces and Hilbert \(C^*\)-modules
• Riesz bases and their dual modular frames in Hilbert \(C^*\)-modules
• Fusion frames and \(g\)-frames
• \(g\)-frames and \(g\)-Riesz bases
• CONSTRUCTION OF DUAL g-FRAMES FOR CLOSED SUBSPACES
• On frames for countably generated Hilbert 𝐶*-modules
• FUSION FRAMES AND g-FRAMES IN HILBERT C*-MODULES
• WEIGHTED AND CONTROLLED FRAMES: MUTUAL RELATIONSHIP AND FIRST NUMERICAL PROPERTIES
• GENERALIZED p-FRAME IN SEPARABLE COMPLEX BANACH SPACES

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