Putinar's Positivstellensatz
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact semi-algebraic sets
|
| gptkbp:concerns |
sums of squares
positive polynomials quadratic modules |
| gptkbp:field |
real algebraic geometry
|
| gptkbp:generalizes |
Schmüdgen's Positivstellensatz
|
| https://www.w3.org/2000/01/rdf-schema#label |
Putinar's Positivstellensatz
|
| gptkbp:namedAfter |
gptkb:Mihai_Putinar
|
| gptkbp:publishedIn |
1993
|
| gptkbp:state |
If a polynomial is positive on a compact basic closed semi-algebraic set and the quadratic module is archimedean, then the polynomial belongs to the quadratic module.
|
| gptkbp:bfsParent |
gptkb:Mihai_Putinar
|
| gptkbp:bfsLayer |
5
|