A note on a result of M. Fragoulopoulou (Q1323216)
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scientific article; zbMATH DE number 567017
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on a result of M. Fragoulopoulou |
scientific article; zbMATH DE number 567017 |
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A note on a result of M. Fragoulopoulou (English)
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16 June 1994
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\textit{M. Fragoulopoulou} [Pac. J. Math. 147, 57-70 (1991; Zbl 0763.46044)] has shown that the image of a Pták \(Q\) \(lmc^*\)-algebra onto a barrelled \(lmc\) \(C^*\)-algebra under a \(*\)-homomorphism is a \(C^*\)- algebra. The authors prove here the following modified theorem: The \(*\)-homomorphic image of a \(*\)-spectrally bounded \(*\)-algebra onto a barrelled pseudocomplete \(lmc\) \(C^*\)-algebra is a \(C^*\)-algebra.
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image of a Pták \(Q\) \(lmc^*\)-algebra
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barrelled \(lmc\) \(C^*\)-algebra
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\(*\)-homomorphism
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image of a \(*\)-spectrally bounded \(^*\)-algebra onto a barrelled pseudocomplete \(lmc\) \(C^*\)-algebra
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0.7352619171142578
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