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Continuous \(g\)-frames with \(C^\ast\)-valued bounds and their properties - MaRDI portal

Continuous \(g\)-frames with \(C^\ast\)-valued bounds and their properties (Q2119590)

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Continuous \(g\)-frames with \(C^\ast\)-valued bounds and their properties
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    Continuous \(g\)-frames with \(C^\ast\)-valued bounds and their properties (English)
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    29 March 2022
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    The authors study continuous \(g\)-frames for Hilbert \(C^\ast\)-modules. A necessary condition, a sufficient condition, and a necessary and sufficient condition for the existence of continuous \(\ast\)-\(g\)-frames in Hilbert \(C^\ast\)-modules are obtained. Moreover, they also study duality and stability for a continuous \(\ast\)-\(g\)-frame in Hilbert \(C^\ast\)-modules.
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    continuous frame
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    \(\ast\)-\(g\)-frame
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    continuous \(\ast\)-\(g\)-frame
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    \(C^\ast\)-algebra
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    Hilbert \(\mathcal{A}\)-module
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