Operators from a subspace of the James space into its dual (Q1359096)
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scientific article; zbMATH DE number 1026277
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Operators from a subspace of the James space into its dual |
scientific article; zbMATH DE number 1026277 |
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Operators from a subspace of the James space into its dual (English)
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24 June 1997
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Let \(J\) be the James space. It is shown that every bounded linear operator from a subspace of \(J\) into \(J'\) is weakly compact. In particular, we obtain the results of James and Andrew that \(J\) (respectively, \(J'\)) is not isomorphic to any subspace of \(J'\) (respectively, \(J\)). Similar results hold for the James tree space.
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James space
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bounded linear operator
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weakly compact
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James tree space
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