Continuous norms on Fréchet lattices (Q1824814)
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scientific article; zbMATH DE number 4118964
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous norms on Fréchet lattices |
scientific article; zbMATH DE number 4118964 |
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Continuous norms on Fréchet lattices (English)
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1989
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Consider the question: Must a Fréchet space with no continuous norm be isomorphic to a product of Fréchet spaces with continuous norm? The author shows that the answer is yes for order complete Fréchet lattices with the weak-Fatou property and for biduals of Fréchet lattices; the product terms are bands. Finally, he shows that an order continuous lattice structure can be defined on a Fréchet space with an unconditional basis.
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order complete Fréchet lattices with the weak-Fatou property
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biduals of Fréchet lattices
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bands
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order continuous lattice structure
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Fréchet space with an unconditional basis
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