Left and right on locally compact groups.

Giovanna Carcano

Collectanea Mathematica (1996)

  • Volume: 47, Issue: 2, page 179-186
  • ISSN: 0010-0757

Abstract

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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. We prove that left and right cannot be mixed.

How to cite

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Carcano, Giovanna. "Left and right on locally compact groups.." Collectanea Mathematica 47.2 (1996): 179-186. <http://eudml.org/doc/40239>.

@article{Carcano1996,
abstract = {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.},
author = {Carcano, Giovanna},
journal = {Collectanea Mathematica},
keywords = {Grupo localmente compacto; Funciones continuas; Medida de Haar; Funciones uniformemente continuas; Integrabilidad; locally compact, non-compact group; Haar measure},
language = {eng},
number = {2},
pages = {179-186},
title = {Left and right on locally compact groups.},
url = {http://eudml.org/doc/40239},
volume = {47},
year = {1996},
}

TY - JOUR
AU - Carcano, Giovanna
TI - Left and right on locally compact groups.
JO - Collectanea Mathematica
PY - 1996
VL - 47
IS - 2
SP - 179
EP - 186
AB - 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.
LA - eng
KW - Grupo localmente compacto; Funciones continuas; Medida de Haar; Funciones uniformemente continuas; Integrabilidad; locally compact, non-compact group; Haar measure
UR - http://eudml.org/doc/40239
ER -

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