Nonstandard hulls of ordered vector spaces (Q291990)
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scientific article; zbMATH DE number 6591953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonstandard hulls of ordered vector spaces |
scientific article; zbMATH DE number 6591953 |
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Nonstandard hulls of ordered vector spaces (English)
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10 June 2016
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The authors extend the technique of nonstandard hulls from vector lattices to ordered vector spaces. They introduce some external subspaces that generalize the subspaces of order-finite and order-infinitesimal elements and apply these concepts to studying the properties of nonstandard hulls, order convergence, Dedekind completion, etc. Some applications are also given to normed ordered vector spaces.
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enlargement
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order-finite element
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order-infinitesimal, o-convergence
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nonstandard hull
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o-completion
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Krein space
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