A Positivstellensatz For Rings Of Continuous-Functions

dc.contributor.author	Gamboa Mutuberria, José Manuel
dc.date.accessioned	2023-06-21T02:01:48Z
dc.date.available	2023-06-21T02:01:48Z
dc.date.issued	1987
dc.description.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.
dc.description.department	Depto. de Álgebra, Geometría y Topología
dc.description.faculty	Fac. de Ciencias Matemáticas
dc.description.refereed	TRUE
dc.description.status	pub
dc.eprint.id	https://eprints.ucm.es/id/eprint/15571
dc.identifier.doi	10.1016/0022-4049(87)90070-3
dc.identifier.issn	0022-4049
dc.identifier.officialurl	http://www.sciencedirect.com/science/journal/00224049
dc.identifier.relatedurl	http://www.sciencedirect.com
dc.identifier.uri	https://hdl.handle.net/20.500.14352/64633
dc.issue.number	3
dc.journal.title	Journal Of Pure And Applied Algebra
dc.page.final	212
dc.page.initial	211
dc.publisher	Elsevier Science
dc.rights.accessRights	metadata only access
dc.subject.cdu	512.7
dc.subject.ucm	Geometria algebraica
dc.subject.unesco	1201.01 Geometría Algebraica
dc.title	A Positivstellensatz For Rings Of Continuous-Functions
dc.type	journal article
dc.volume.number	45
dspace.entity.type	Publication
relation.isAuthorOfPublication	8fcb811a-8d76-49a2-af34-85951d7f3fa5
relation.isAuthorOfPublication.latestForDiscovery	8fcb811a-8d76-49a2-af34-85951d7f3fa5

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