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Extending the Archimedean Positivstellensatz to the Non-Compact Case

Published online by Cambridge University Press:  20 November 2018

M. Marshall
M. Marshall*
Affiliation:
Department of Mathematics and Statistics University of Saskatchewan Saskatoon, Saskatchewan S7N 0W0, e-mail: [email protected]
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Abstract

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A generalization of Schmüdgen’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 Wörmann’s proof.

Keywords

12D1514P1044A60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 2 , 01 June 2001 , pp. 223 - 230
Copyright
Copyright © Canadian Mathematical Society 2001

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