\(K\)-\(\mathrm{g}\)-frames and stability of \(K\)-\(\mathrm{g}\)-frames in Hilbert spaces (Q2835291)

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scientific article; zbMATH DE number 6658987
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\(K\)-\(\mathrm{g}\)-frames and stability of \(K\)-\(\mathrm{g}\)-frames in Hilbert spaces
scientific article; zbMATH DE number 6658987

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    2 December 2016
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    \(K\)-\(\mathrm{g}\)-frame
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    stability
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    \(K\)-\(\mathrm{g}\)-frames and stability of \(K\)-\(\mathrm{g}\)-frames in Hilbert spaces (English)
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    \(K\)-frames and \(K\)-g-frames, where \(K\) is a bounded operator on a Hilbert space, have been introduced recently. They allow to reconstruct elements from the range of the bounded operator \(K\). In the present paper, the authors get some new results for \(K\)-g-frames, especially some results for the stability of \(K\)-g-frames are obtained.
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