On regular Riesz subspaces (Q1412288)
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scientific article; zbMATH DE number 2002001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On regular Riesz subspaces |
scientific article; zbMATH DE number 2002001 |
Statements
On regular Riesz subspaces (English)
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10 November 2003
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A Riesz subspace \(F\) of an Archimedean Riesz space \(E\) is regular (\(\sigma\)-regular) if every set (sequence) in \(F\) decreasing to zero in \(F\) decreases to zero in \(E\). For discrete Riesz spaces, the problem is solved if the topological closure preserves regularity.
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regular Riesz subspace
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\(\sigma\)-regular Riesz subspace
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locally solid Riesz spaces
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countable sup property
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Lebesgue property
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