Contractive intertwining dilations of quasi-contractions (Q1909641)
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scientific article; zbMATH DE number 856804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Contractive intertwining dilations of quasi-contractions |
scientific article; zbMATH DE number 856804 |
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Contractive intertwining dilations of quasi-contractions (English)
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17 March 1996
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Summary: We prove that quasi-contractions in Kreĭn spaces always have contractive intertwining dilations. This result covers many of the known lifting of commutant theorems in both Hilbert and Kreĭn spaces. The approach is an adaptation of the angular operator method and uses the existence of invariant maximal non-negative subspaces for certain operators.
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\(W\)-spaces
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quasi-contractions
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angular operators
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quasi-contractions in Kreĭn spaces
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contractive intertwining dilations
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lifting of commutant theorems
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existence of invariant maximal non-negative subspaces
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