On a comparison of real with complex involutive complete algebras (Q1966335)
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scientific article; zbMATH DE number 1408547
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a comparison of real with complex involutive complete algebras |
scientific article; zbMATH DE number 1408547 |
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On a comparison of real with complex involutive complete algebras (English)
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6 March 2000
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The author establishes the definition and the existence of the refined notions of an involutive algebra and a \(C^*\)-complexification, and presents a comparison theory for a parallel study between commutative real complete normed algebras and the corresponding complex involutive algebras. For example, he shows that every complex \(C^*\)-algebra \(A\) is isometrically \(*\)-isomorphic onto the \(C^*\)-complexification \(QH({\mathcal A})\) of the real part of itself.
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\(C^*\)-complexification
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commutative real complete normed algebras
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complex involutive algebras
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0.8792026
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0.8673631
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0.8613047
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0.8599308
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