Some results about the operator perturbation of a \(K\)-frame

DOI10.1007/s00025-018-0902-xzbMath1400.42040OpenAlexW2895675197WikidataQ129163083 ScholiaQ129163083MaRDI QIDQ1990692

Man Jia, Yu-Can Zhu

Publication date: 25 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00025-018-0902-x

zbMATH Keywords

\(K\)-frameoperator perturbationtight \(K\)-frame

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General harmonic expansions, frames (42C15) Nontrigonometric harmonic analysis (42C99)

Related Items (15)

\(K\)-frames from finite extensions ⋮ \(K\)-frames for Banach spaces ⋮ $K$-orthonormal and $K$-Riesz Bases ⋮ Some new results on the weaving of \(K\)-g-frames in Hilbert spaces ⋮ On \(K\)-woven frames in Hilbert \(C^\ast\)-modules ⋮ Discrete Gabor frames and \(K\)-discrete Gabor frames ⋮ On \(K\)-duality and redundancy of \(K\)-g-frames ⋮ Constructions of \(K\text{-g}\)-frames and tight \(K\text{-g}\)-frames in Hilbert spaces ⋮ New results on K-frames ⋮ The \(K\)-dual Bessel generators for unitary groups of Hilbert spaces ⋮ On the sum of generalized frames in Hilbert spaces ⋮ Dual and canonical dual \(K\)-Bessel sequences in quaternionic Hilbert spaces ⋮ Some properties of \(K\)-frames in quaternionic Hilbert spaces ⋮ On \(K\)-frame generators for unitary systems in Hilbert \(C^\ast\)-modules ⋮ Some New Results of Weaving K-Frames in Hilbert Spaces

Cites Work

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• MORE ON SUMS OF HILBERT SPACE FRAMES
• Atomic decompositions for operators in reproducing kernel Hilbert spaces
• New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
• $\boldsymbol{K}$-frames and $\boldsymbol{K}$-Riesz bases incomplex Hilbert spaces
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases

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