Algebras of Fractions and Strict Positivstellensätze for *-Algebras
| dc.creator | Schmuedgen, Konrad | |
| dc.date | 2009-03-16 | |
| dc.date.accessioned | 2026-07-07T12:52:51Z | |
| dc.date.available | 2026-07-07T12:52:51Z | |
| dc.description | In this paper we investigate a *-algebra $\cX$ of fractions associated with a unital complex *-algebra $\cA$. The algebra $\cX$ and its Hilbert space representations are used to prove abstract noncommutative strict Positivstellensätze for $\cA$. Multi-grading of $\cA$ are studied as technical tools to verify the assumptions of this theorem. As applications we obtain new strict Positivstellensätze for the Weyl algebra and for the Lie algebra $\cg$ of the affine group of the real line. We characterize integrable representations of the Lie algebra $\cg$ in terms of resolvents of the generators and derive a new integrability criterion for representations of $\cg$. | |
| dc.identifier | https://arxiv.org/abs/0903.2708 | |
| dc.identifier | http://arxiv.org/abs/0903.2708 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223428 | |
| dc.subject | Operator Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14P10; 14A22; 46K10 | |
| dc.title | Algebras of Fractions and Strict Positivstellensätze for *-Algebras | |
| dc.type | text |