The Archimedean order unitization of seminormed ordered vector spaces¶
Josse van Dobben de Bruyn. (2026). The Archimedean order unitization of seminormed ordered vector spaces. Positivity.
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1 citation across 1 artifact.
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Domain-specific¶
- Ordered algebra
- The underlying ordered vector space is also Archimedean in the bounded-multiples sense: if \(na\) is bounded above for every positive integer \(n\), then \(a\leq 0\).
This sourceThe directly inspected definitions distinguish the bounded-multiples condition from an order unit. The examples and polynomial counterexample in this article are elementary derivations rather than examples attributed to that paper.
- The underlying ordered vector space is also Archimedean in the bounded-multiples sense: if \(na\) is bounded above for every positive integer \(n\), then \(a\leq 0\).
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