Tensor products of Jacobson radicals in nest algebras (Q1431014)
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scientific article; zbMATH DE number 2068432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tensor products of Jacobson radicals in nest algebras |
scientific article; zbMATH DE number 2068432 |
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Tensor products of Jacobson radicals in nest algebras (English)
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27 May 2004
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Given two nests \(N\), \(M\) on a complex Hilbert space, the author obtains a description of the tensor product of Jacobson radicals \(R_N\otimes_w R_M\). It is also proved that when \(N\), \(M\) are nontrivial, then \(R_N\otimes_w R_M= R^w_{N\otimes M}\) if and only if \(N\), \(M\) are continuous.
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von Neumann algebras
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tensor product
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nest algebra
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Jacobson radical
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