On topological reflexivity of the groups of \(^*\)-automorphisms and surjective isometries of \({\mathcal B}(H)\) (Q2365010)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On topological reflexivity of the groups of \(^*\)-automorphisms and surjective isometries of \({\mathcal B}(H)\) |
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On topological reflexivity of the groups of \(^*\)-automorphisms and surjective isometries of \({\mathcal B}(H)\) (English)
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13 July 1997
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We prove that for a separable infinite-dimensional Hilbert space \(H\), the set of all *-automorphisms and that of all surjective isometries of \({\mathcal B}(H)\) are topologically reflexive but this does not hold true for commutative von Neumann algebras.
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