\(K\)-frames for Banach spaces

DOI10.1155/2022/6385365zbMath1493.42050OpenAlexW4293233182MaRDI QIDQ2138150

Chun-Yan Li, Baoguang Sun

Publication date: 11 May 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/6385365

zbMATH Keywords

Banach spaceframeK-frame

Mathematics Subject Classification ID

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

Cites Work

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• Some properties of \(K\)-frames in Hilbert spaces
• Canonical dual \(K\)-Bessel sequences and dual \(K\)-Bessel generators for unitary systems of Hilbert spaces
• Frame expansions in separable Banach spaces
• Frames for operators
• \((p,Y)\)-operator frames for a Banach space
• Continuity of generalized inverses of linear operators in Banach spaces and its applications
• Describing functions: Atomic decompositions versus frames
• Some constructions of \(K\)-frames and their duals
• \(p\)-frames in separable Banach spaces
• Some results about the operator perturbation of a \(K\)-frame
• Some properties of canonical dual \(K\)-Bessel sequences for Parseval \(K\)-frames
• \(g\)-frames and \(g\)-Riesz bases
• Painless nonorthogonal expansions
• SOME RESULTS OF K-FRAMES AND THEIR MULTIPLIERS
• $\boldsymbol{K}$-frames and $\boldsymbol{K}$-Riesz bases incomplex Hilbert spaces
• A Class of Nonharmonic Fourier Series
• \(p\)-frames and shift invariant subspaces of \(L^p\)

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