Asymptotic Stability I: Completely Positive Maps
| dc.creator | Arveson, William | |
| dc.date | 2003-04-30 | |
| dc.date | 2004-01-26 | |
| dc.date.accessioned | 2026-07-07T04:57:36Z | |
| dc.date.available | 2026-07-07T04:57:36Z | |
| dc.description | We show that for every "locally finite" unit-preserving completely positive map P acting on a C*-algebra, there is a corresponding *-automorphism αof another unital C*-algebra such that the two sequences P, P^2,P^3,... and α, α^2,α^3,... have the same {\em asymptotic} behavior. The automorphism αis uniquely determined by P up to conjugacy. Similar results hold for normal completely positive maps on von Neumann algebras, as well as for one-parameter semigroups. These results can be viewed as operator algebraic counterparts of the classical Perron-Frobenius theorem on the structure of square matrices with nonnegative entries. | |
| dc.description | Additional references. No change in mathematical content | |
| dc.identifier | https://arxiv.org/abs/math/0304488 | |
| dc.identifier | http://arxiv.org/abs/math/0304488 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67315 | |
| dc.subject | Operator Algebras | |
| dc.subject | Dynamical Systems | |
| dc.subject | 46L55, 46L09, 46L40 | |
| dc.title | Asymptotic Stability I: Completely Positive Maps | |
| dc.type | text |