\(CQ^*\)-algebras: Structure properties (Q1922667)
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scientific article; zbMATH DE number 927931
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(CQ^*\)-algebras: Structure properties |
scientific article; zbMATH DE number 927931 |
Statements
\(CQ^*\)-algebras: Structure properties (English)
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31 October 1996
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Summary: Some structure properties of \(CQ^*\)-algebras are investigated. The usual multiplication of a quasi \(^*\)-algebra is generalized by introducing a weak- and strong-product. The \(^*\)-semisimplicity is defined via a suitable family of positive sesquilinear forms and some consequences of this notion are derived. The basic elements of a functional calculus on these partial algebraic structures are discussed.
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structure properties
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\(CQ^*\)-algebras
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quasi \(^*\)-algebra
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weak- and strong-product
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\(^*\)-semisimplicity
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functional calculus
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partial algebraic structures
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