Perturbations of operators similar to contractions and the commutator equation
| dc.creator | Badea, Catalin | |
| dc.date | 2005-01-11 | |
| dc.date.accessioned | 2026-07-07T05:15:58Z | |
| dc.date.available | 2026-07-07T05:15:58Z | |
| dc.description | Let $T$ and $V$ be two Hilbert space contractions and let $X$ be a linear bounded operator. It was proved by C. Foias and J.P. Williams that in certain cases the operator block matrix $R(X;T,V)$ (defined in the text) is similar to a contraction if and only if the commutator equation $X = TZ-ZV$ has a bounded solution $Z$. We characterize here the similarity to contractions of some operator matrices $R(X;T,V)$ in terms of growth conditions or of perturbations of $R(0;T,V)=T\oplus V$. | |
| dc.description | 26 pages, Preprint version | |
| dc.identifier | https://arxiv.org/abs/math/0501154 | |
| dc.identifier | http://arxiv.org/abs/math/0501154 | |
| dc.identifier | Studia Math. 150(2002), 273-293 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73815 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47A50 | |
| dc.title | Perturbations of operators similar to contractions and the commutator equation | |
| dc.type | text |