Extension of representations in quasi *-algebras
| dc.creator | Antoine, J. -P. | |
| dc.creator | Bagarello, F. | |
| dc.creator | Trapani, C. | |
| dc.date | 2009-04-06 | |
| dc.date.accessioned | 2026-07-07T13:00:48Z | |
| dc.date.available | 2026-07-07T13:00:48Z | |
| dc.description | Let $(A, A_o)$ be a topological quasi *-algebra, which means in particular that $A_o$ is a topological *-algebra, dense in $A$. Let $π^o$ be a *-representation of $A_o$ in some pre-Hilbert space ${\cal D} \subset {\cal H}$. Then we present several ways of extending $π^o$, by closure, to some larger quasi *-algebra contained in $A$, either by Hilbert space operators, or by sesquilinear forms on ${\cal D}$. Explicit examples are discussed, both abelian and nonabelian, including the CCR algebra. | |
| dc.identifier | https://arxiv.org/abs/0904.0887 | |
| dc.identifier | http://arxiv.org/abs/0904.0887 | |
| dc.identifier | Ann. Inst. H. Poincaré, {\bf 69}, 241-264, (1998) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225955 | |
| dc.subject | Mathematical Physics | |
| dc.title | Extension of representations in quasi *-algebras | |
| dc.type | text |