Shifts with weights of polynomial growth are hyper-reflexive (Q1396713)
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scientific article; zbMATH DE number 1947302
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shifts with weights of polynomial growth are hyper-reflexive |
scientific article; zbMATH DE number 1947302 |
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Shifts with weights of polynomial growth are hyper-reflexive (English)
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8 July 2003
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It is proved that the bilateral shift acting on the space \(\ell_{\omega}^{2}(\mathbb Z)\) is hyper-reflexive if the weight sequence satisfies the condition \(1\leq\omega(n)\leq C(1+| n| )^{\alpha}\) for all \(n\in \mathbb Z\).
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shift operator
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weighted space
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hyperreflexivity
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invariant subspace
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