Characterization and construction of \(K\)-fusion frames and their duals in Hilbert spaces

DOI10.1007/s00025-018-0781-1zbMath1397.42022arXiv1705.00209OpenAlexW2963392105MaRDI QIDQ1743262

Ali Akbar Arefijamaal, Fahimeh Arabyani Neyshaburi

Publication date: 13 April 2018

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

Full work available at URL: https://arxiv.org/abs/1705.00209

zbMATH Keywords

fusion frames\(K\)-fusion frames\(K\)-dualsresolution of bounded operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (11)

Weaving K-fusion frames in Hilbert spaces ⋮ Weaving continuous K-frames in Hilbert spaces ⋮ Continuous $k$-Fusion Frames in Hilbert Spaces ⋮ On \(K\)-woven frames in Hilbert \(C^\ast\)-modules ⋮ Duals and multipliers of \(K\)-fusion frames ⋮ Frame-related operators for woven frames ⋮ Continuous weaving fusion frames in Hilbert spaces ⋮ The \(K\)-dual Bessel generators for unitary groups of Hilbert spaces ⋮ \(K\)-g-fusion frames in Hilbert spaces ⋮ Controlled g-fusion frame in Hilbert space ⋮ Hilbert–Schmidt frames and their duals

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