Nuclear Fréchet spaces with basis do not have the three-space property (Q1093132)
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scientific article; zbMATH DE number 4021877
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nuclear Fréchet spaces with basis do not have the three-space property |
scientific article; zbMATH DE number 4021877 |
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Nuclear Fréchet spaces with basis do not have the three-space property (English)
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1988
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A property (P) that locally convex spaces may enjoy is termed a three- space property if, whenever E contains a subspace F such that F and E/F have (P), then E too has (P). In the present paper it is proved that the property of having a basis is not a three-space property for nuclear Fréchet spaces. This follows from showing that the property of being not twisted is not a three-space property and from a previous result of the second author.
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property of being not twisted is not a three-space property
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