Strict topologies in non-archimedean function spaces (Q1071227)
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scientific article; zbMATH DE number 3937848
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strict topologies in non-archimedean function spaces |
scientific article; zbMATH DE number 3937848 |
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Strict topologies in non-archimedean function spaces (English)
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1984
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Summary: Let F be a non-trivial complete non-Archimedean valued field. Some locally F-convex topologies, on the space \(C_ b(X,E)\) of all bounded continuous functions from a zero-dimensional topological space X to a non-Archimedean locally F-convex space E, are studied. The corresponding dual spaces are also investigated.
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space of vector valued continuous functions
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spherically complete
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zero- dimensional
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Banaschewski compactification
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strict
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topologies
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complete non-Archimedean valued field
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locally F-convex topologies
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