Real Algebraic and Analytic Geometry

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2. Markus Schweighofer:
Iterated rings of bounded elements and generalizations of Schmüdgen's Positivstellensatz.

e-mail:
homepage: http://perso.univ-rennes1.fr/markus.schweighofer/

Submission: 2002, March 15.

Abstract:
We prove a common generalization of Schmüdgen's Positivstellensatz and the stationarity of the iterated real holomorphy ring proved by Becker and Powers for real algebras of finite transcendence degree. There is also an Erratum available.

Mathematics Subject Classification (2000): 13J30, 14P10, 11E25, 44A60.

Keywords and Phrases: Positivstellensatz, positive polynomials, sums of squares, preordering, real spectrum, moment problems.

Full text, 26p.: dvi 107k, ps.gz 118k, pdf 285k.


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