Left and right on locally compact groups (Q1922176)
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scientific article; zbMATH DE number 927090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Left and right on locally compact groups |
scientific article; zbMATH DE number 927090 |
Statements
Left and right on locally compact groups (English)
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15 September 1996
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Let \(G\) be a locally compact, non-compact group and \(f\) a function defined on \(G\); we prove that, if \(f\) is uniformly continuous with respect to the left (right) structure on \(G\) and with a power integrable with respect to the left (right) Haar measure on \(G\), then \(f\) must vanish at infinity. With a counterexample, we prove that left and right cannot be mixed.
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locally compact, non-compact group
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Haar measure
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