Modular frames and invertibility of multipliers in Hilbert C*-modules

DOI10.1080/03081087.2018.1550047OpenAlexW2902822773WikidataQ114641330 ScholiaQ114641330MaRDI QIDQ5122481

Elnaz Osgooei, F. Ghobadzadeh, Abbas Najati

Publication date: 23 September 2020

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

Full work available at URL: https://doi.org/10.1080/03081087.2018.1550047

zbMATH Keywords

Riesz basisframemultiplierHilbert \(C^*\)-module

Mathematics Subject Classification ID

(C^*)-modules (46L08) General harmonic expansions, frames (42C15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (3)

$G$-dual Frames in Hilbert $C^{*}$-module Spaces ⋮ (F,G)-operator frames for ℒ(ℋ,𝒦) ⋮ Properties of bounded representations for \(G\)-frames

Cites Work

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• Invertibility of multipliers
• Representation of the inverse of a frame multiplier
• Basic definition and properties of Bessel multipliers
• Perturbation of frames and Riesz bases in Hilbert \(C^*\)-modules
• Bessel multipliers in Hilbert \(C^\ast\)-modules
• Riesz bases and their dual modular frames in Hilbert \(C^*\)-modules
• Frames and operators in Hilbert C^✻-modules
• The invertibility of fusion frame multipliers
• On frames for countably generated Hilbert 𝐶*-modules
• A Class of Nonharmonic Fourier Series

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