On the Topological Centre of $L^1(G/H)^{\ast\ast}$

Authors

  • Reihaneh Raisi Tousi
  • Rajab Ali Kamyabi-Gol
  • Hamid Reza Ebrahimi Vishki

Keywords:

homogeneous space, topological centre, Arens product, factorization property, Mazur property

Abstract

Let $G$ be a locally compact group and $H$ be a compact subgroup of $G$. Using a general criterion established by Neufang in \cite{Neuf} we show that the Banach algebra $L^1(G/H)$ is Arens irregular for a large class of locally compact groups. DOI: 10.1017/S0004972712000123

Published

2012-06-25

Issue

Vol. 86 No. 1 (2012)

Section

Articles
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