On two-sided locally convex \(H^*\)-algebras (Q1943590)
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scientific article; zbMATH DE number 6147196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two-sided locally convex \(H^*\)-algebras |
scientific article; zbMATH DE number 6147196 |
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On two-sided locally convex \(H^*\)-algebras (English)
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20 March 2013
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The authors introduce and study the concept of a left, right, and two-sided locally convex \(H^*\)-algebra. It is a generalization of a concept introduced earlier by the first author. If the considered algebra is \(m\)-convex, it is related, via the Arens-Michael decomposition, to the classical two-sided \(H^*\)-algebras.
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proper algebra
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locally convex \(H^*\)-algebra
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involution
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pseudo-\(H\)-algebra
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dual algebra
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Arens-Michael decomposition
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invariant ideal
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