\((p,Y)\)-operator frames for a Banach space

DOI10.1016/j.jmaa.2008.06.030zbMath1257.42041OpenAlexW2043029060MaRDI QIDQ944352

Huai-Xin Cao, Qing-Jiang Chen, Lan Li, Guo Xing Ji

Publication date: 16 September 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.030

zbMATH Keywords

Banach space\((p, Y)\)-Bessel operator sequence\((p, Y)\)-operator frame\((p, Y)\)-Riesz basis

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (6)

\(K\)-frames for Banach spaces ⋮ Unnamed Item ⋮ Construction of a sort of multiple pseudoframes for subspaces with filter banks ⋮ Bochner \(pg\)-frames ⋮ C∗-algebra consisting of all g-Bessel sequences in a Hilbert space ⋮ Bessel Sequences and Frames in Semi-inner Product Spaces

Cites Work

• Frame expansions in separable Banach spaces
• Stability of \(g\)-frames
• Describing functions: Atomic decompositions versus frames
• Perturbation of operators and applications to frame theory
• Quasi-orthogonal decompositions of structured frames.
• Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere
• Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors
• The art of frame theory
• Foundations of time-frequency analysis
• Oblique dual frames and shift-invariant spaces
• \(p\)-frames in separable Banach spaces
• Pseudoframes for subspaces with applications
• Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\)
• Wavelets in subspaces
• Frames and bases of subspaces in Hilbert spaces
• \(g\)-frames and \(g\)-Riesz bases
• Wandering vector multipliers for unitary groups
• Painless nonorthogonal expansions
• Wandering vectors for unitary systems and orthogonal wavelets
• Frames, bases and group representations
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases
• \(p\)-frames and shift invariant subspaces of \(L^p\)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \((p,Y)\)-operator frames for a Banach space