Holomorphically ultrabornological spaces and holomorphic inductive limits (Q580660)
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scientific article; zbMATH DE number 4017640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Holomorphically ultrabornological spaces and holomorphic inductive limits |
scientific article; zbMATH DE number 4017640 |
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Holomorphically ultrabornological spaces and holomorphic inductive limits (English)
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1987
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The holomorphically ultrabornological spaces are introduced. Their relation with other holomorphically significant classes of locally convex spaces is established and separating examples are given, including the existence in any infinite dimensional Banach space of non ultrabornological Baire hyperplanes. Some apparently new properties of holomorphically ultrabornological spaces are included and holomorphically ultrabornological spaces are utilized in a problem posed by Nachbin.
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Baire space
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holomorphically ultrabornological spaces
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holomorphically significant classes of locally convex spaces
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