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Extending the Archimedean Positivstellensatz to the Non-Compact Case |
Canad. Math. Bull. 44(2001), 223-230
Published:2001-06-01
Printed: Jun 2001
Printed: Jun 2001
- M. Marshall
Abstract
A generalization of Schm\"udgen's Positivstellensatz is given which holds
for any basic closed semialgebraic set in $\mathbb{R}^n$ (compact or not).
The proof is an extension of W\"ormann's proof.
| MSC Classifications: |
12D15 - Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) [See also 11Exx] 14P10 - Semialgebraic sets and related spaces 44A60 - Moment problems |