On Well-behaved Unbounded Representations of *-Algebras
| dc.creator | Schmuedgen, Konrad | |
| dc.date | 2000-04-26 | |
| dc.date.accessioned | 2026-07-07T04:34:53Z | |
| dc.date.available | 2026-07-07T04:34:53Z | |
| dc.description | A general approach to the well-behaved unbounded *-representations of a *-algebra X is proposed. Let B be a normed *-algebra equipped with a left action |> of X on B such that (x |> a)^+ b=a^+(x^+ |> b) for a,b\in B and x\in X. Then the pair (X,B) is called a compatible pair. For any continuous non-degenerate *-representation ρof B there exists a closed *-representation ρ' of X such that ρ'(x)ρ(b)=ρ(x |> b), where x\in X and b\in B. The *-representations ρ' are called the well-behaved *-representations associated with the compatible pair (X,B). A number of examples are developed in detail. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0004163 | |
| dc.identifier | http://arxiv.org/abs/math/0004163 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59075 | |
| dc.subject | Operator Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16G30 (Primary) 47B25 (Secondary) | |
| dc.title | On Well-behaved Unbounded Representations of *-Algebras | |
| dc.type | text |