Parseval \(p\)-frames and the Feichtinger conjecture

DOI10.1016/j.jmaa.2014.11.021zbMath1304.42077OpenAlexW2085324196WikidataQ122921134 ScholiaQ122921134MaRDI QIDQ481959

Ben Tuo Zheng, Bei Liu, Rui Liu

Publication date: 19 December 2014

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.2014.11.021

zbMATH Keywords

Feichtinger conjecture(Parseval) \(p\)-frame\(q\)-Riesz basic sequenceClarkson's inequalitypseudo-framingSchauder frame

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (2)

Unnamed Item ⋮ Frames for metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal and maximal unconditional bases with respect to framings
• Upper Beurling density of systems formed by translates of finite sets of elements in \(L^p(\mathbb{R}^d)\)
• Frame expansions in separable Banach spaces
• Multipliers for \(p\)-Bessel sequences in Banach spaces
• On shrinking and boundedly complete Schauder frames of Banach spaces
• Coefficient quantization for frames in Banach spaces
• Describing functions: Atomic decompositions versus frames
• Subspaces without the approximation property
• The art of frame theory
• \(p\)-frames in separable Banach spaces
• A characterization of Schauder frames which are near-Schauder bases
• Interlacing families. II: Mixed characteristic polynomials and the Kadison-Singer problem
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• A counterexample to the approximation problem in Banach spaces
• Spanning and independence properties of frame partitions
• Operators and frames
• Operator-Valued Measures, Dilations, and the Theory of Frames
• Frames and the Feichtinger conjecture
• The Kadison–Singer Problem in mathematics and engineering
• A decomposition theorem for frames and the Feichtinger Conjecture
• Painless nonorthogonal expansions
• Frames, bases and group representations
• Upper and lower estimates for Schauder frames and atomic decompositions
• Onp-frames and reconstruction series in separable Banach spaces
• Hilbert-Schauder frame operators
• The Paulsen Problem in operator theory
• Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases
• \(p\)-frames and shift invariant subspaces of \(L^p\)

This page was built for publication: Parseval \(p\)-frames and the Feichtinger conjecture