Dilation of dual frame pairs in Hilbert \(C^*\)-modules

DOI10.1007/s00025-011-0195-9zbMath1270.46050OpenAlexW2040845656MaRDI QIDQ1936925

David R. Larson, Ram N. Mohapatra, Wu Jing, Peng Tong Li, De Guang Han

Publication date: 8 February 2013

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

Full work available at URL: https://doi.org/10.1007/s00025-011-0195-9

zbMATH Keywords

dilationframesunitary groupsRiesz basesdual frame pairsHilbert \(C^*\)-modulesframe vectors

Mathematics Subject Classification ID

(C^*)-modules (46L08) General harmonic expansions, frames (42C15) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (13)

New inequalities of \(K\)-g-frames in submodules ⋮ Dilations of (dual) Hilbert-Schmidt frames ⋮ Frames and factorization of graph Laplacians ⋮ On some operators and dilations of frame generator and dual pair of frame generators of two structured unitary systems ⋮ On \(K\)-woven frames in Hilbert \(C^\ast\)-modules ⋮ Similarity and parameterizations of dilations of pairs of dual group frames in Hilbert spaces ⋮ Decomposition of Gaussian processes, and factorization of positive definite kernels ⋮ Reproducing kernel Hilbert space vs. frame estimates ⋮ Invertibility of g-frame multipliers and Bessel multipliers for unitary systems in Hilbert C*-modules ⋮ Joint similarities and parameterizations for Naimark complementary frames ⋮ Frames in Semi-inner Product Spaces ⋮ On \(K\)-frame generators for unitary systems in Hilbert \(C^\ast\)-modules ⋮ Infinite networks and variation of conductance functions in discrete Laplacians

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