Completeness for vector lattices (Q2414746)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Completeness for vector lattices |
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Completeness for vector lattices (English)
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17 May 2019
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\textit{H. Li} and \textit{Z.-L. Chen} proved that a vector lattice \(X\), having the countable \(\sup\) property, is universally complete if it is \(uo\)-complete [Positivity 22, No. 1, 83--90 (2018; Zbl 1397.46002)]. The author shows that this remains true without any assumption on \(X\).
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vector lattice
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unbounded order convergence
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universal completeness
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