On some questions concerning \(Q\)-algebras (Q2732312)
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scientific article; zbMATH DE number 1623557
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some questions concerning \(Q\)-algebras |
scientific article; zbMATH DE number 1623557 |
Statements
15 October 2002
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character
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\(m\)-convex metrizable algebra
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maximal ideals
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On some questions concerning \(Q\)-algebras (English)
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A commutative normed unitary algebra \(A\) is a \(Q\)-algebra if and only if its ideals are closed. Examples are given to show, respectively, thatNEWLINENEWLINENEWLINE(i) every character of \(A\) is continuous but \(A\) is not a \(Q\)-algebra,NEWLINENEWLINENEWLINE(ii) an \(m-\)convex metrizable algebra in which all maximal ideals are closed need not be a \(Q\)-algebra.
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