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Extending the Archimedean Positivstellensatz to the Non-Compact Case

  Published:2001-06-01
 Printed: Jun 2001
  • M. Marshall
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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, 14P10, 44A60 show english descriptions Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) [See also 11Exx]
Semialgebraic sets and related spaces
Moment problems
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
 

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