Left and right on locally compacts groups

Autores: Giovanna Cárcamo
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 47, Fasc. 2, 1996, págs. 179-186
Idioma: inglés
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Resumen
- 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. We prove that left and right cannot be mixed.