An exotic characterization of a commutative \(H^*\)-algebra (Q1582714)
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scientific article; zbMATH DE number 1517260
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An exotic characterization of a commutative \(H^*\)-algebra |
scientific article; zbMATH DE number 1517260 |
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An exotic characterization of a commutative \(H^*\)-algebra (English)
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15 October 2000
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A semisimple complex Hilbert algebra is a commutative \(H^*\)-algebra if the orthogonal complement of any right ideal is a left ideal. In this case it is the direct sum of minimal two-sided ideals each of which is isomorphic to the complex field.
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commutative \(H^*\)-algebra
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orthogonal complement
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right ideal
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left ideal
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direct sum of minimal two-sided ideals
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