Decompositions and asymptotic limit for bicontractions (Q2883264)
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scientific article; zbMATH DE number 6033780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decompositions and asymptotic limit for bicontractions |
scientific article; zbMATH DE number 6033780 |
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Decompositions and asymptotic limit for bicontractions (English)
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11 May 2012
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contraction
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bicontraction
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bi-isometry
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Wold type decomposition
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The asymptotic limit of a bicontraction \(T\) (that is, a pair of commuting contractions) on a Hilbert space \(\mathcal{H}\) is used to describe a Nagy-Foiaş-Langer type decomposition of \(T\). This decomposition is refined in the case when the asymptotic limit of \(T\) is an orthogonal projection. The case of a bicontraction \(T\) consisting of hyponormal (even quasinormal) contractions is also considered, where \(S_{T^*}=S_{T^*}^2\).
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