Non-commutative Real Algebraic Geometry - Some Basic Concepts and First Ideas
| dc.creator | Schmuedgen, Konrad | |
| dc.date | 2007-09-20 | |
| dc.date | 2007-09-25 | |
| dc.date.accessioned | 2026-07-07T08:31:38Z | |
| dc.date.available | 2026-07-07T08:31:38Z | |
| dc.description | We propose and discuss how basic notions (quadratic modules, positive elements, semialgebraic sets, Archimedean orderings) and results (Positivstellensaetze) from real algebraic geometry can be generalized to noncommutative $*$-algebras. A version of Stengle's Positivstellensatz for $n \times n$ matrices of real polynomials is proved. | |
| dc.identifier | https://arxiv.org/abs/0709.3170 | |
| dc.identifier | http://arxiv.org/abs/0709.3170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138555 | |
| dc.subject | Operator Algebras | |
| dc.subject | 13J30, 47L60, 15A48 (Primary); 11E25 (Secondary) | |
| dc.title | Non-commutative Real Algebraic Geometry - Some Basic Concepts and First Ideas | |
| dc.type | text |