Equivalency relations between continuous g-frames and stability of alternate duals of continuous g-frames in Hilbert \(C^*\)-modules (Q1789780)
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scientific article; zbMATH DE number 6950546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivalency relations between continuous g-frames and stability of alternate duals of continuous g-frames in Hilbert \(C^*\)-modules |
scientific article; zbMATH DE number 6950546 |
Statements
Equivalency relations between continuous g-frames and stability of alternate duals of continuous g-frames in Hilbert \(C^*\)-modules (English)
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10 October 2018
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Summary: We introduce the modular continuous g-Riesz basis to improve one existing result for continuous g-Riesz basis in Hilbert \(C^*\)-modules, and then we study the equivalency relations between continuous g-frames in Hilbert \(C^*\)-modules, and, in particular, we obtain two necessary and sufficient conditions under which two continuous g-frames are similar. Finally, we generalize a stability result for alternate duals of g-frames in Hilbert spaces to alternate duals of continuous g-frames in Hilbert \(C^*\)-modules.
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