Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/31014| Author(s): | Mendes, S. Bettencourt, G. H. |
| Date: | 2023 |
| Title: | Numerical representation of topological real algebras |
| Journal title: | Revista Colombiana de Matemáticas |
| Volume: | 57 |
| Number: | 1 |
| Pages: | 103 - 113 |
| Reference: | Mendes, S., & Bettencourt, G. H. (2023). Numerical representation of topological real algebras. Revista Colombiana de Matemáticas, 57(1), 103-113. https://dx.doi.org/10.15446/recolma |
| ISSN: | 0034-7426 |
| DOI (Digital Object Identifier): | 10.15446/recolma |
| Keywords: | Gelfand-Mazur’s theorem Real algebra Continuous numerical representations of total pre-orders |
| Abstract: | We show that the isomorphism provided by the Gelfand-Mazur theorem for a commutative pre-ordered real Banach algebra A with unit defines a numerical representation which is compatible with the order structure. |
| Peerreviewed: | yes |
| Access type: | Open Access |
| Appears in Collections: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
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| File | Size | Format | |
|---|---|---|---|
| article_101536.pdf | 363,56 kB | Adobe PDF | View/Open |
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