Extending the Archimedean Positivstellensatz to the Non-Compact Case
Canadian mathematical bulletin, Tome 44 (2001) no. 2, pp. 223-230
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A generalization of Schmüdgen’s Positivstellensatz is given which holds for any basic closed semialgebraic set in ${{\mathbb{R}}^{n}}$ (compact or not). The proof is an extension of Wörmann’s proof.
Marshall, M. Extending the Archimedean Positivstellensatz to the Non-Compact Case. Canadian mathematical bulletin, Tome 44 (2001) no. 2, pp. 223-230. doi: 10.4153/CMB-2001-022-2
@article{10_4153_CMB_2001_022_2,
author = {Marshall, M.},
title = {Extending the {Archimedean} {Positivstellensatz} to the {Non-Compact} {Case}},
journal = {Canadian mathematical bulletin},
pages = {223--230},
year = {2001},
volume = {44},
number = {2},
doi = {10.4153/CMB-2001-022-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-022-2/}
}
TY - JOUR AU - Marshall, M. TI - Extending the Archimedean Positivstellensatz to the Non-Compact Case JO - Canadian mathematical bulletin PY - 2001 SP - 223 EP - 230 VL - 44 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-022-2/ DO - 10.4153/CMB-2001-022-2 ID - 10_4153_CMB_2001_022_2 ER -
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