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An elementary proof of Schmüdgen's theorem on the moment problem of closed semi-algebraic sets
Author(s):
Tim
Netzer
Journal:
Proc. Amer. Math. Soc.
136
(2008),
529-537.
MSC (2000):
Primary 44A60, 14P10
Posted:
November 2, 2007
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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
DOI:
10.1090/S0002-9939-07-09087-9
PII:
S 0002-9939(07)09087-9
Keywords:
Moment problem,
real algebraic geometry
Received by editor(s):
July 26, 2006
Posted:
November 2, 2007
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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