A hypercyclic rank one perturbation of a unitary operator (Q2883877)
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scientific article; zbMATH DE number 6034374
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A hypercyclic rank one perturbation of a unitary operator |
scientific article; zbMATH DE number 6034374 |
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A hypercyclic rank one perturbation of a unitary operator (English)
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14 May 2012
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linear dynamical systems
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hypercyclic operators
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finite rank perturbations
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unitary operators
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0.9802731
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0.97476864
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0.9663261
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0.92583513
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0.90623677
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0.9058745
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0.89822865
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In this paper, the author is interested in the construction of some special hypercyclic operators on Hilbert spaces and proves that there exists a rank \(1\) perturbation of a unitary operator on a complex separable infinite-dimensional Hilbert space which is hypercyclic.
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