Generalized frames for operators in Hilbert spaces

DOI10.1142/S0219025714500131zbMath1294.41023OpenAlexW1967009020MaRDI QIDQ5170129

Mohammad Sadegh Asgari, Hamidreza Rahimi

Publication date: 18 July 2014

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025714500131

zbMATH Keywords

fusion framesRiesz decompositions\(G\)-frames\(G\)-orthonormal bases

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (22)

New constructions of \(K\)-g-frames ⋮ Some new results on the weaving of \(K\)-g-frames in Hilbert spaces ⋮ Controlled \(K\)-g-frames in Hilbert spaces ⋮ Generalized weaving frames for operators in Hilbert spaces ⋮ Unnamed Item ⋮ On \(K\)-duality and redundancy of \(K\)-g-frames ⋮ Unnamed Item ⋮ K-g-frames and their dual ⋮ Some new results on the construction and stability of K-g-frames in Hilbert spaces ⋮ G-frames for operators in Hilbert $C^{\ast}$-modules ⋮ Canonical dual \(K\)-g-Bessel sequences and \(K\)-g-frame sequences ⋮ The \(K\)-dual Bessel generators for unitary groups of Hilbert spaces ⋮ Continuous frames for unbounded operators ⋮ Duality and biorthogonality for g-frames in Hilbert spaces ⋮ Tight \(K\)-\(g\)-frame and its novel characterizations via atomic systems ⋮ Unnamed Item ⋮ Continuous controlled \(K\)-\(g\)-frames in Hilbert spaces ⋮ Controlled weaving frames in Hilbert spaces ⋮ Continuous K-g-frames in Hilbert spaces ⋮ Unnamed Item ⋮ Duality relations associated with weak g-R-duals ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Frames for operators
• Stability of \(g\)-frames
• Pseudoframes for subspaces with applications
• \(g\)-frames and \(g\)-Riesz bases
• Painless nonorthogonal expansions

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