Characterization and some properties of von Neumann-Schatten \(p\)-Bessel sequences

DOI10.36045/j.bbms.220511zbMath1522.42067OpenAlexW4360585137MaRDI QIDQ6073807

Farkhondeh Takhteh, Morteza Mirzaee Azandaryani

Publication date: 18 September 2023

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36045/j.bbms.220511

zbMATH Keywords

perturbationBanach spacevon Neumann-Schatten \(p\)-framevon Neumann-Schatten \(q\)-Riesz basisvon Neumann-Schatten \(p\)-Bessel sequence

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) General harmonic expansions, frames (42C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Von Neumann-Schatten dual frames and their perturbations
• Frame expansions in separable Banach spaces
• Describing functions: Atomic decompositions versus frames
• Perturbation of operators and applications to frame theory
• Quasi-orthogonal decompositions of structured frames.
• Approximation of the inverse frame operator and stability of Hilbert-Schmidt frames
• Von Neumann-Schatten frames in separable Banach spaces
• \(p\)-frames in separable Banach spaces
• Pseudoframes for subspaces with applications
• Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\)
• Some identities and inequalities for Hilbert-Schmidt frames
• Fusion frames and \(g\)-frames
• \(g\)-frames and \(g\)-Riesz bases
• Sums of Hilbert space frames
• Frames and bases. An introductory course
• Painless nonorthogonal expansions
• Frame Perturbations
• A Class of Nonharmonic Fourier Series
• \(p\)-frames and shift invariant subspaces of \(L^p\)