Some characterizations of \(Q\)-algebras (Q2733904)
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scientific article; zbMATH DE number 1633170
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some characterizations of \(Q\)-algebras |
scientific article; zbMATH DE number 1633170 |
Statements
12 August 2001
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spectral map
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topological algebra
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\(Q\)-algebra
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spectral radius
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Some characterizations of \(Q\)-algebras (English)
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Among other results the authors show that a unital topological algebra \(A\) is a \(Q\)-algebra (the group of invertible elements is open) iff the ``spectral map'' \(x\to\sigma(x)\) is upper semicontinuous, or, iff the spectral radius \(\rho(x)\) is continuous at \(0\).
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