Some relationship between \(g\)-frames and frames (Q2793870)
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scientific article; zbMATH DE number 6557630
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some relationship between \(g\)-frames and frames |
scientific article; zbMATH DE number 6557630 |
Statements
17 March 2016
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frame
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\(g\)-frame
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Hilbert C\(^\ast\)-module
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\(g\)-frame operator
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bounded operator
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Some relationship between \(g\)-frames and frames (English)
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The authors extend a result of \textit{A. Askarizadeh} and \textit{M. A. Dehghan} [Turk. J. Math. 37, No. 1, 60--70 (2013; Zbl 1271.46047)] by showing that, under a certain condition, every \(g\)-Riesz basis for a Hilbert space \(H\) with respect to \(K\) is a Riesz basis for the Hilbert \(B(K)\)-module \(B(H,K)\).
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