An elementary proof of Schmüdgen’s theorem on the moment problem of closed semi-algebraic sets
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Abstract:
We prove the main result from Schmüdgen’s 2003 article in a more elementary way. The result states that the question of whether a finitely generated preordering has the so-called strong moment property can be reduced to the same question for preorderings corresponding to fiber sets of bounded polynomials.References
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Additional Information
- Tim Netzer
- Affiliation: Fachbereich Mathematik und Statistik, Universität Konstanz, 78457 Konstanz, Germany
- Email: tim.netzer@uni-konstanz.de
- Received by editor(s): July 26, 2006
- Published electronically: November 2, 2007
- Communicated by: Joseph A. Ball
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 529-537
- MSC (2000): Primary 44A60, 14P10
- DOI: https://doi.org/10.1090/S0002-9939-07-09087-9
- MathSciNet review: 2358493