Spectral synthesis in the Mirkil algebra (Q1197444)
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scientific article; zbMATH DE number 91580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral synthesis in the Mirkil algebra |
scientific article; zbMATH DE number 91580 |
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Spectral synthesis in the Mirkil algebra (English)
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16 January 1993
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Let \(M\) be the Mirkil algebra, a commutative regular semisimple Banach algebra. Two of the main results of the paper are: (1) Corresponding to each non-spectral set in the maximal ideal space of \(M\), there is a pair of closed singly generated ideals whose intersection is not finitely generated; (2) Every subset of the maximal ideal space is the union of two sets for which spectral synthesis holds.
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Mirkil algebra
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commutative regular semisimple Banach algebra
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non- spectral set in the maximal ideal space
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closed singly generated ideals
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subset of the maximal ideal space
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spectral synthesis
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0.91770136
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0.9032874
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0.8881232
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0.8857579
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0.8847461
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