Von Neumann-Schatten dual frames and their perturbations

DOI10.1007/s00025-015-0522-7zbMath1346.46008OpenAlexW2280826554MaRDI QIDQ287307

Ghadir Sadeghi, Ali Akbar Arefijamaal

Publication date: 26 May 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-015-0522-7

zbMATH Keywords

perturbationdual framevon Neumann-Schatten operator

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (13)

Dilations of (dual) Hilbert-Schmidt frames ⋮ \(\epsilon\)-approximations and dynamical representations of Hilbert-Schmidt frames ⋮ Near Riesz and Besselian Hilbert–Schmidt operator sequences ⋮ Characterization and some properties of von Neumann-Schatten \(p\)-Bessel sequences ⋮ Characterizations and Representations of H-S-Frames in Hilbert Spaces ⋮ Generalized dual Hilbert-Schmidt frames and their topological properties ⋮ Multipliers for von Neumann-Schatten Bessel sequences in separable Banach spaces ⋮ Dual and approximately dual Hilbert-Schmidt frames in Hilbert spaces ⋮ Hilbert–Schmidt Frames: Duality, Weaving and Stability ⋮ Portraits and perturbations of Hilbert-Schmidt frame sequences ⋮ Duals and approximate duals of von Neumann-Schatten \(p\)-frames ⋮ Hilbert–Schmidt frames and their duals ⋮ Frame properties of Hilbert-Schmidt operator sequences

Cites Work

• Describing functions: Atomic decompositions versus frames
• Perturbation of operators and applications to frame theory
• Von Neumann-Schatten frames in separable Banach spaces
• Continuous frames in Hilbert space
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• Frames associated with measurable spaces
• Pseudoframes for subspaces with applications
• Frames and bases of subspaces in Hilbert spaces
• \(g\)-frames and \(g\)-Riesz bases
• Generalized frames and their redundancy
• Time-frequency partitions for the Gelfand triple $(S_0,L^2,S_0')$
• A Class of Nonharmonic Fourier Series
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