Gamboa Mutuberria, José Manuel
(1987)
*A Positivstellensatz For Rings Of Continuous-Functions.*
Journal Of Pure And Applied Algebra, 45
(3).
pp. 211-212.
ISSN 0022-4049

Official URL: http://www.sciencedirect.com/science/journal/00224049

## Abstract

A one page proof (using the real spectrum) of the following result: Let f, g : X ! R be a continuous functions on a topological space X, such that f is strictly positive on g−1(0).

Then there exist continuous functions u, v and w such that (1 + v2)f = 1 + w2 + gu.

Item Type: | Article |
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Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 15571 |

Deposited On: | 11 Jun 2012 08:47 |

Last Modified: | 11 Jun 2012 08:47 |

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