Quotients of nest algebras with trivial commutator (Q1110071)
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scientific article; zbMATH DE number 4071731
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quotients of nest algebras with trivial commutator |
scientific article; zbMATH DE number 4071731 |
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Quotients of nest algebras with trivial commutator (English)
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1987
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Let H be a Hilbert space, \({\mathcal A}^ a \)subalgebra and J a two-sided ideal of \({\mathcal B}(H)\). Put C(\({\mathcal A},J)=\{T\in {\mathcal B}(H):AT-TA\in J\) for every \(A\in {\mathcal A}\}\). It is proved that if \({\mathcal A}\) is a nest algebra, then always C(\({\mathcal A},J)=\{C\cdot I\}+J\).
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commutators
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nest algebra
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