Left and right on locally compact groups
type: Item
instance of: scholarly article
title: Left and right on locally compact groups
zbMATH Open document ID: 0854.22004
author: Giovanna Carcano
published in: Collectanea Mathematica
publication date: 1996-09-15T00:00:00Z
full work available at URL: https://eudml.org/doc/40239
review text: 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.
Mathematics Subject Classification ID: 22D05
zbMATH DE Number: 927090
zbMATH Keywords: locally compact, non-compact group
zbMATH Keywords: Haar measure
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 927090