On a theorem of Beurling and Kaplansky (Q2651757)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a theorem of Beurling and Kaplansky |
scientific article |
Statements
On a theorem of Beurling and Kaplansky (English)
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1954
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Nouvelle démonstration du Théorème: Si \(I\) est un idéal fermé de l'algèbre \(L_1(A)\) d'un groupe abélien localement compact \(A\), si le spectre \(S(f)\) d'une fonction \(f\) contient le spectre \(S(I)\) et si l'intersection des frontières de \(S(f)\) et de \(S(I)\) est un ensemble réductible (pas de sous-ensembles parfaits non vides), alors \(f\in I\).
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closed ideal
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algebra of locally compact abelian group
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spectrum of function
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