Similarity invariant real linear subspaces and similarity preserving additive maps. (Q1418972)
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scientific article; zbMATH DE number 2026892
| Language | Label | Description | Also known as |
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| English | Similarity invariant real linear subspaces and similarity preserving additive maps. |
scientific article; zbMATH DE number 2026892 |
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Similarity invariant real linear subspaces and similarity preserving additive maps. (English)
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14 January 2004
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Let \(H\) be a separable complex infinite-dimensional Hilbert space and \(B(H)\) denote the Banach algebra of all bounded linear operators on \(H\). All similarity invariant real linear subspaces of \(B(H)\) are characterized. As an application, all continuous additive surjective maps on \(B(H)\) which preserve similarity in both directions are completely classified.
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Hilbert space operators
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similarity invariant real linear subspaces
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similarity preserving additive maps
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