Sum of K-frames in Hilbert C*-modules

DOI10.2298/FIL2006771MzbMath1499.42143arXiv1802.01947OpenAlexW3127477435MaRDI QIDQ5865256

Mohammad Mahmoudieh, Gholamreza Abbaspour Tabadkan, Ali Akbar Arefijamaal

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01947

zbMATH Keywords

Hilbert \(C^\ast\)-moduleunitary system\(K\)-frame

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General harmonic expansions, frames (42C15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

K-Riesz bases and K-g-Riesz bases in Hilbert C∗-module

Cites Work

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• The product of operators with closed range in Hilbert \(C^{*}\)-modules
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• The theory of multiresolution analysis frames and applications to filter banks
• Positive semi-definite matrices of adjointable operators on Hilbert \(C^{*}\)-modules
• \(g\)-frames and \(g\)-Riesz bases
• Frame operators of \(K\)-frames
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases

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