An elementary proof of Schmüdgen’s theorem on the moment problem of closed semi-algebraic sets

Netzer, Tim

doi:10.1090/S0002-9939-07-09087-9

An elementary proof of Schmüdgen’s theorem on the moment problem of closed semi-algebraic sets
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Proc. Amer. Math. Soc. 136 (2008), 529-537 Request permission

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.

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