Weak compactness in the dual of a \(C^*\)-algebra is determined commutatively (Q1318137)
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scientific article; zbMATH DE number 537321
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak compactness in the dual of a \(C^*\)-algebra is determined commutatively |
scientific article; zbMATH DE number 537321 |
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Weak compactness in the dual of a \(C^*\)-algebra is determined commutatively (English)
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23 March 1994
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We prove Pelczyński's property (V) for \(C^*\)-algebras by proving that weak compactness in the dual of a \(C^*\)-algebra is determined commutatively. Thus von Neumann algebras -- and in particular \(L(H)\) -- are Grothendieck spaces.
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Pelczyński's property (V) for \(C^*\)-algebras
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weak compactness in the dual of a \(C^*\)-algebra is determined commutatively
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Grothendieck spaces
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