Weak amenability and simply connected Lie groups (Q318169)
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scientific article; zbMATH DE number 6632586
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak amenability and simply connected Lie groups |
scientific article; zbMATH DE number 6632586 |
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Weak amenability and simply connected Lie groups (English)
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4 October 2016
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A locally compact group \(G\) is \textit{weakly amenable} if there is a net of compactly supported Herz-Schur multipliers on \(G\) that is uniformly bounded with respect to the Herz--Schur norm and converges to 1 uniformly on compact subsets of \(G\). This notion was introduced by \textit{M. Cowling} and \textit{U. Haagerup} [Invent. Math. 96, No. 3, 507--549 (1989; Zbl 0681.43012)]. The paper under review gives a complete characterization of simply connected Lie groups that are weakly amenable.
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weak amenability
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Lie groups
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locally compact groups
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Herz-Schur multiplier
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