Publication: A Positivstellensatz For Rings Of Continuous-Functions
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Publication Date
1987
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Elsevier Science
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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.