Continuous pseudocharacters on connected locally compact groups are characters (Q1337923)
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scientific article; zbMATH DE number 687611
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous pseudocharacters on connected locally compact groups are characters |
scientific article; zbMATH DE number 687611 |
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Continuous pseudocharacters on connected locally compact groups are characters (English)
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5 December 1994
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The author proves that any continuous pseudocharacter on a connected locally compact group \(G\) (that is a real function \(f\) with \(f(x^n) = nf(x)\) and the set \(\{f(xy) - f(x) - f(y) : x,y \in G\}\) is bounded) is a continuous homomorphism of \(G\) into \(\mathbb{R}\).
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continuous pseudocharacter
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locally compact group
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homomorphism
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