Construction of dual \(g\)-frames for closed subspaces (Q2891168)
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scientific article; zbMATH DE number 6045986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of dual \(g\)-frames for closed subspaces |
scientific article; zbMATH DE number 6045986 |
Statements
13 June 2012
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closed subspaces
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\(g\)-Bessel sequences
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dual \(g\)-frames
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commutativity closed subspaces
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commutativity
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Construction of dual \(g\)-frames for closed subspaces (English)
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Dual \(g\)-frames for a closed subspace in a separable Hilbert space are introduced and their characterizations are given. The authors show that dual \(g\)-frames for closed subspaces are non-commutative.NEWLINENEWLINETherefore the authors construct dual \(g\)-frames for closed subspaces from two aspects. Necessary and sufficient conditions for commutative dual \(g\)-frame pairs for closed subspaces under certain condition are also given.
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