Gelfand theorem implies Stone representation theorem of Boolean rings (Q1902919)
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scientific article; zbMATH DE number 823349
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gelfand theorem implies Stone representation theorem of Boolean rings |
scientific article; zbMATH DE number 823349 |
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Gelfand theorem implies Stone representation theorem of Boolean rings (English)
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20 February 1996
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Summary: The Stone Theorem about representing a Boolean algebra in terms of open- closed subsets of a topological space is a consequence of the Gelfand Theorem about representing a \(B^*\)-algebra as the algebra of continuous functions on a compact Hausdorff space.
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Banach algebra
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Boolean ring
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Stone representation theorem
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Gelfand theorem
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Boolean algebra
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\(B^*\)-algebra
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algebra of continuous functions on a compact Hausdorff space
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0.7839890122413635
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