Multiplicative properties of positive maps
| dc.creator | Stormer, Erling | |
| dc.date | 2006-07-04 | |
| dc.date.accessioned | 2026-07-07T07:18:00Z | |
| dc.date.available | 2026-07-07T07:18:00Z | |
| dc.description | Let $ϕ$ be a positive unital normal map of a von Neumann algebra $M$ into itself, and assume there is a family of normal $ϕ$-invariant states which is faithful on the von Neumann algebra generated by the image of $ϕ$. It is shown that there exists a largest Jordan subalgebra $C_ϕ$ of $M$ such that the restriction of $ϕ$ to $C_ϕ$ is a Jordan automorphhism, and each weak limit point of $(ϕ^n (a))$ for $a\in M$ belongs to $C_ϕ$. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607090 | |
| dc.identifier | http://arxiv.org/abs/math/0607090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114145 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55, 46L09 | |
| dc.title | Multiplicative properties of positive maps | |
| dc.type | text |