Multiplicative maps on ideals of operators which are local automorphisms
| dc.creator | Molnar, Lajos | |
| dc.date | 1999-09-09 | |
| dc.date.accessioned | 2026-07-07T05:30:42Z | |
| dc.date.available | 2026-07-07T05:30:42Z | |
| dc.description | We present the following reflexivity-like result concerning the automorphism group of the $C^*$-algebra B(H), H being a separable Hilbert space. Let $ϕ:B(H)\to B(H)$ be a multiplicative map (no linearity or continuity is assumed) which can be approximated at every point by automorphisms of B(H) (these automorphisms may, of course, depend on the point) in the operator norm. Then $ϕ$ is an automorphism of the algebra B(H). | |
| dc.description | 8 pages. To appear in Acta Sci. Math. (Szeged) | |
| dc.identifier | https://arxiv.org/abs/math/9909046 | |
| dc.identifier | http://arxiv.org/abs/math/9909046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79078 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 47D50, 47B49, 46L40 | |
| dc.title | Multiplicative maps on ideals of operators which are local automorphisms | |
| dc.type | text |