A real holomorphy ring without the Schmüdgen property

Canadian Mathematical Bulletin

Volumn 42, Issue 3, 1999, Pages 354-358

  Marshall, Murray A ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000071070     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-1999-041-2     Document Type: Article

References (8)

1. E. Becker and V. Powers, Sums of powers in rings and the real holomorphy ring. J. Reine Angew. Math. 480(1996), 71-103.
2. E. Becker and N. Schwartz, Zum Darstellungssatz von Kadison-Dubois. Arch. Math. 39(1983), 421-428.
3. J. Bochnak, M. Coste and M.-F. Roy, Géométrie Algébrique Réelle. Ergeb. Math. Grenzgeb., Springer, Berlin-Heidelberg-New York, 1987.
4. M. Coste and M.-F. Roy, La topologie du spectre réel. In: Ordered fields and real algebraic geometry, Contemp. Math. 8, Amer. Math. Soc., 1981, 27-59.
5. T.-Y. Lam, An introduction to real algebra. Rocky Mtn. J. Math. 14(1984), 767-814.
6. J.-P. Monnier, Schmüdgen Positivstellensatz. Manuscripta Math., to appear
7. K. Schmüdgen, The K-moment problem for compact semi-algebraic sets. Math. Ann. 289(1991), 203-206.
8. T. Wörmann, Strikt positive Polynome in der semialgebraischen Geometrie. PhD Thesis, Dortmund, 1998.