A Strict Positivstellensatz for the Weyl Algebra
| dc.creator | Schmuedgen, Konrad | |
| dc.date | 2004-03-03 | |
| dc.date | 2005-07-26 | |
| dc.date.accessioned | 2026-07-07T05:05:54Z | |
| dc.date.available | 2026-07-07T05:05:54Z | |
| dc.description | Let $c$ be an element of the Weyl algebra $W(d)$ which is given by a strictly positive operator in the Schr"odinger representation. It is shown that, under some conditions, there exist elements $b_1,...,b_d$ in $W(d)$ such that $b_1 c b_1^* + ... + b_d c b_d^*$ is a finite sum of squares. | |
| dc.description | 17 pages, condition (i) in Theorem 1.1 implies (ii). Assumption (ii) can be omitted | |
| dc.identifier | https://arxiv.org/abs/math/0403076 | |
| dc.identifier | http://arxiv.org/abs/math/0403076 | |
| dc.identifier | Math. Annalen 331 (2005), pp. 779-794 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70349 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Functional Analysis | |
| dc.subject | 14P10; 14A22; 46K10 | |
| dc.title | A Strict Positivstellensatz for the Weyl Algebra | |
| dc.type | text |