Nuclear Fréchet spaces with locally round finite dimensional decomposition (Q791823)
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scientific article; zbMATH DE number 3851769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nuclear Fréchet spaces with locally round finite dimensional decomposition |
scientific article; zbMATH DE number 3851769 |
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Nuclear Fréchet spaces with locally round finite dimensional decomposition (English)
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1984
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A class of finite dimensional decompositions (FDDs), called locally round, is introduced in Fréchet spaces. A Fréchet space with a locally round FDD can be viewed as a generalization of a Köthe space. The block subspaces and block quotients of such a space are always complemented and have a basis. Conversely, sometimes these properties characterize an FDD being locally round.
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locally round finite dimensional decompositions
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Fréchet spaces
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Köthe space
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block subspaces
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block quotients
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basis
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