A Positivstellensatz for rings of continuous functions (Q1095200)
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scientific article; zbMATH DE number 4027634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Positivstellensatz for rings of continuous functions |
scientific article; zbMATH DE number 4027634 |
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A Positivstellensatz for rings of continuous functions (English)
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1987
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A one page proof (using the real spectrum) of the following result: Let \(f,g: X\to {\mathbb{R}}\) 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 \((1+v^ 2)f=1+w^ 2+gu\).
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