On representations of partial ^*-algebras based on B-weights
| dc.creator | Kuersten, Klaus-Detlef | |
| dc.creator | Wagner, Elmar | |
| dc.date | 1999-02-09 | |
| dc.date | 2000-06-05 | |
| dc.date.accessioned | 2026-07-07T05:27:52Z | |
| dc.date.available | 2026-07-07T05:27:52Z | |
| dc.description | A generalization of the GNS-representation is investigated that represents partial ^*-algebras as systems of operators acting on a partial inner product space (PIP-space). It is based on possibly indefinite B-weights which are closely related to the positive B-weights introduced by J.-P. Antoine, Y. Soulet and C. Trapani. Some additional assumptions had to be made in order to guarantee the GNS-construction. Different partial products of operators on a PIP-space are considered which allow the GNS-construction under suitable conditions. Several examples illustrate the argumentation and indicate inherent problems. | |
| dc.description | Authors spelling K.-D. Kürsten, 16 pages, Latex. Changed formulation of Proposition 3.4 | |
| dc.identifier | https://arxiv.org/abs/math/9902061 | |
| dc.identifier | http://arxiv.org/abs/math/9902061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78084 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47D40 (Primary) 46C50, 46K10 (Secondary) | |
| dc.title | On representations of partial ^*-algebras based on B-weights | |
| dc.type | text |