Frames and operators in Hilbert \(C^{\ast}\)-modules (Q2807238)

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scientific article; zbMATH DE number 6582998
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Frames and operators in Hilbert \(C^{\ast}\)-modules
scientific article; zbMATH DE number 6582998

    Statements

    19 May 2016
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    atomic system
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    \(K\)-frame
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    \(C^*\)-algebra
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    Hilbert \(C^*\)-module
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    Bessel sequence
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    Frames and operators in Hilbert \(C^{\ast}\)-modules (English)
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    The notion of frame was generalized from Hilbert spaces to Hilbert \(C^*\)-modules by \textit{M. Frank} and \textit{D. R. Larson} [J. Oper. Theory 48, No. 2, 273--314 (2002; Zbl 1029.46087)]. The authors introduce the notions of \textit{atomic system} and of \textit{\(K\)-frame} and establish some relations between them and frames.
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