The invertibility of fusion frame multipliers

DOI10.1080/03081087.2016.1228803zbMath1362.41008OpenAlexW2514136903MaRDI QIDQ2979486

Mitra Shamsabadi, Ali Akbar Arefijamaal

Publication date: 25 April 2017

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1228803

zbMATH Keywords

Riesz basismultiplierfusion framecanonical dualinverse multiplier

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (14)

\(U\)-cross Gram matrices and their invertibility ⋮ A new look at optimal dual problem related to fusion frames ⋮ Representation of operators using fusion frames ⋮ Invertibility of Multipliers for Continuous G-frames ⋮ Modular frames and invertibility of multipliers in Hilbert C*-modules ⋮ Invertibility of g-frame multipliers and Bessel multipliers for unitary systems in Hilbert C*-modules ⋮ Duals and multipliers of \(K\)-fusion frames ⋮ Some results on \(U\)-cross Gram matrices by using \(K\)-frames ⋮ Weaving Hilbert space fusion frames ⋮ The convergence constants and non linear approximations of fusion frames ⋮ The invertibility of \(U\)-fusion cross Gram matrices of operators ⋮ On excesses and duality in woven frames ⋮ SOME RESULTS OF K-FRAMES AND THEIR MULTIPLIERS ⋮ On C–D controlled frames and their duality

Cites Work

• Invertibility of multipliers
• Representation of the inverse of a frame multiplier
• Dual fusion frames
• Multipliers for \(p\)-Bessel sequences in Banach spaces
• Frame expansions for Gabor multipliers
• Basic definition and properties of Bessel multipliers
• Fusion frames and distributed processing
• Bessel fusion multipliers
• On the duality of fusion frames

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