Some properties of g-frames in Hilbert \(C^{*}\)-modules (Q1046493)
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scientific article; zbMATH DE number 5651198
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of g-frames in Hilbert \(C^{*}\)-modules |
scientific article; zbMATH DE number 5651198 |
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Some properties of g-frames in Hilbert \(C^{*}\)-modules (English)
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22 December 2009
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\textit{W.-C.\thinspace Sun} [``g-frames and g-Riesz bases'', J.~Math.\ Anal.\ Appl.\ 322, No.\,1, 437--452 (2006; Zbl 1129.42017)] introduced the notion of g-frame in Hilbert spaces that extends the notion of frame and investigated some properties of g-frames. In this paper, the authors give an operator-theoretic characterization of g-frames in Hilbert \(C^*\)-modules and prove some equalities and inequalities of frames and g-frames in Hilbert \(C^*\)-modules. Unfortunately, there are some mistakes in the proof of Theorems 3.3 and 3.4, and some statements are ambiguous.
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g-frame
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Hilbert \(C^*\)-module
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