Homomorphisms and derivations from \({\mathcal B}(E)\) (Q1328265)
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scientific article; zbMATH DE number 599756
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homomorphisms and derivations from \({\mathcal B}(E)\) |
scientific article; zbMATH DE number 599756 |
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Homomorphisms and derivations from \({\mathcal B}(E)\) (English)
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2 July 1995
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The authors give a positive answer to the question: Is there a Banach space \(E\) such that all derivations from \({\mathcal B} (E)\) are continuous, but such that there are discontinuous homomorphisms from \({\mathcal B} (E)\) into certain Banach algebras? In their example, \(E\) is the \(\ell^ 1\)- sum of James-type spaces and their proof relies on the continuum hypothesis.
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derivations
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discontinuous homomorphisms
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