Complemented subspaces of products of power series spaces (Q794234)
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scientific article; zbMATH DE number 3859740
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complemented subspaces of products of power series spaces |
scientific article; zbMATH DE number 3859740 |
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Complemented subspaces of products of power series spaces (English)
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1982
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The author proves that in a Cartesian product of two nuclear power series spaces of different type \(\Lambda_ 1(\alpha)\times \Lambda_{\infty}(\beta)\) a complemented subspace with a basis is isomorphic to a space spanned by a subsequence of the coordinate basis of \(\Lambda_ 1(\alpha)\times \Lambda_{\infty}(\beta)\).
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Cartesian product of two nuclear power series spaces
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complemented subspace with a basis
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