Fréchet-valued holomorphic functions on compact sets and the properties \((\overline{DN}, LB_\infty,\Omega)\) (Q1297389)
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scientific article; zbMATH DE number 1321721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fréchet-valued holomorphic functions on compact sets and the properties \((\overline{DN}, LB_\infty,\Omega)\) |
scientific article; zbMATH DE number 1321721 |
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Fréchet-valued holomorphic functions on compact sets and the properties \((\overline{DN}, LB_\infty,\Omega)\) (English)
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21 November 1999
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The authors show that every weakly holomorphic function on a compact set of uniqueness in a Fréchet space \(E \in (\Omega)\) with values in a Fréchet space \(F \in (\overline {DN})\) is holomorphic. A characterization of Fréchet space with \((LB_\infty)\) is also established.
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weakly holomorphic function
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compact set of uniqueness
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Fréchet space with \((LB_\infty)\)
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0.96843433
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0.9115298
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0.89948964
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0.89522487
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0.89457077
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0.88774574
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