A Positivstellensatz for rings of continuous functions
type: Item
instance of: scholarly article
title: A Positivstellensatz for rings of continuous functions
zbMATH Open document ID: 0632.14001
DOI: 10.1016/0022-4049(87)90070-3
published in: Journal of Pure and Applied Algebra
publication date: 1987-01-01T00:00:00Z
review text: 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 \((1+v^ 2)f=1+w^ 2+gu\).
Mathematics Subject Classification ID: 14A05
Mathematics Subject Classification ID: 14Pxx
Mathematics Subject Classification ID: 54C40
zbMATH DE Number: 4027634
author: Jose Manuel Gamboa
reviewed by: Michel Coste
MaRDI profile type: Publication
full work available at URL: 0022-4049(87)90070-3
OpenAlex ID: W1979028112
cites work: Q3969054
cites work: La topologie du spectre réel
cites work: An introduction to real algebra
description: scientific article; zbMATH DE number 4027634