On unconditional bases in spaces of holomorphic functions in infinite dimensions (Q919233)
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scientific article; zbMATH DE number 4159413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On unconditional bases in spaces of holomorphic functions in infinite dimensions |
scientific article; zbMATH DE number 4159413 |
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On unconditional bases in spaces of holomorphic functions in infinite dimensions (English)
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1991
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Let E be a Fréchet-Montel space or a (DF)-Montel space having a strong dual with an absolute basis. If the monomials on E associated with that basis form an unconditional basis for the space of all holomorphic functions on E endowed with the compact-open topology, then E is nuclear. This is an extension of Dineen's and Timoney's recent solution of the so- called basis problem.
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Fréchet-Montel space
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(DF)-Montel space
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strong dual with an absolute basis
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unconditional basis
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space of all holomorphic functions
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compact- open topology
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nuclear
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basis problem
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