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Generalized frames for operators associated with atomic systems

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Publication:1697711
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DOI10.1215/17358787-2017-0050zbMath1382.42019OpenAlexW2773612400MaRDI QIDQ1697711

Ting-Zhu Huang, Dongwei Li, Jin-Song Leng

Publication date: 20 February 2018

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

Full work available at URL: https://projecteuclid.org/euclid.bjma/1512464418


zbMATH Keywords

atomic system\(K\)-g-frames\(K\)-dual Bessel g-sequencecanonical \(K\)-dual Bessel g-sequence


Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)


Related Items

Fusion frames for operators and atomic systems ⋮ New properties of phase-retrievable g-frames and exact phase-retrievable g-frames ⋮ Some properties of exact phase retrievable subspaces ⋮ Constructions of \(K\text{-g}\)-frames and tight \(K\text{-g}\)-frames in Hilbert spaces ⋮ Operator representations of g-frames in Hilbert spaces ⋮ Generalized frames for controlled operators in Hilbert spaces



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