Extension and factorization of Riesz \(n\)-morphisms on pre-Riesz spaces (Q2059942)
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scientific article; zbMATH DE number 7442640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension and factorization of Riesz \(n\)-morphisms on pre-Riesz spaces |
scientific article; zbMATH DE number 7442640 |
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Extension and factorization of Riesz \(n\)-morphisms on pre-Riesz spaces (English)
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13 December 2021
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A Riesz \(n\)-morphism with \(n\) an integer is a multilinear operator that is a Riesz homomorphism in each of the \(n\) variables provided that the other entries are fixed positive elements. Each \(n\)-morphism to a universally complete range is a product of Riesz homomorphisms. The authors extend this result to the setting of pre-Riesz spaces.
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pre-Riesz space
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Riesz completion
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universal completion
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van Haandel's extension
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Riesz \(n\)-morphism
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factorization
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0.89699996
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0.8890307
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0.88564515
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0.87736785
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