Relative uniform convergence and Archimedean property in pre-ordered vector spaces
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866913151633588224 |
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| author | Emelyanov, Eduard |
| author_facet | Emelyanov, Eduard |
| contents | It is proved that, for a pre-ordered vector space $X$, the quotient space $(X/A,[W])$ is an Archimedeanization of $X$, where $W$ is the closure of the positive wedge $X_+$ in ru-topology, $A=W\cap(-W)$, and $[W]$ is the quotient set of $W$ in $X/A$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16419 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Relative uniform convergence and Archimedean property in pre-ordered vector spaces Emelyanov, Eduard Functional Analysis 46A40, 47B60, 47B65 It is proved that, for a pre-ordered vector space $X$, the quotient space $(X/A,[W])$ is an Archimedeanization of $X$, where $W$ is the closure of the positive wedge $X_+$ in ru-topology, $A=W\cap(-W)$, and $[W]$ is the quotient set of $W$ in $X/A$. |
| title | Relative uniform convergence and Archimedean property in pre-ordered vector spaces |
| topic | Functional Analysis 46A40, 47B60, 47B65 |
| url | https://arxiv.org/abs/2602.16419 |