Close CSL algebras are similar (Q1337545)
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scientific article; zbMATH DE number 683137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Close CSL algebras are similar |
scientific article; zbMATH DE number 683137 |
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Close CSL algebras are similar (English)
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9 November 1994
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We prove that if \(\mathcal A\) and \(\mathcal B\) are two CSL algebras whose unit balls are sufficiently close in the Hausdorff metric, then \(\mathcal A\) and \(\mathcal B\) are similar via an invertible opererator which is close to the identity. This result does not require any assumptions regarding hyperreflexivity.
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close CSL algebras are similar
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CSL algebras
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hyperreflexivity
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