location:  Publications → journals → CMB
Abstract view

# Extending the Archimedean Positivstellensatz to the Non-Compact Case

Published:2001-06-01
Printed: Jun 2001
• M. Marshall
 Format: HTML LaTeX MathJax PDF PostScript

## 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