Multiplications and involutions on vector spaces (Q1966336)
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scientific article; zbMATH DE number 1408548
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplications and involutions on vector spaces |
scientific article; zbMATH DE number 1408548 |
Statements
Multiplications and involutions on vector spaces (English)
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6 March 2000
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The aim of this paper is to present 1) an abstract algebraic form of the classical Vidav-Palmer theorem, pertaining to a characterization of the existence of a \(C^*\)-algebra structure on a given unital Banach algebra and 2) an abstract algebraic formulation of the result of Bucy-Maltese, concerning the integral representation of a given positive linear form on a unital commutative Banach \(*\)-algebra.
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Vidav-Palmer theorem
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existence of a \(C^*\)-algebra structure
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integral representation
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positive linear form
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unital commutative Banach \(*\)-algebra
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0.9007865
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0.88138825
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0.8812009
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0.88081753
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