Bulletin of Australian Mathematical Society, ( ISI ), Volume (1), No (1), Year (2012-4) , Pages (14-4)

Title : ( On The Topological Centre of L1G/H )

Authors: Reihaneh Raisi Tousi , Rajab Ali Kamyabi Gol , Hamid Reza Ebrahimi Vishki ,
File:

Access to full-text not allowed by authors

Citation: BibTeX | EndNote

Abstract

LetG be a locally compact group and H be a compact subgroup ofG. Using a general criterion established by Neufang [‘A unified approach to the topological centre problem for certain Banach algebras arising in abstract harmonic analysis’, Arch. Math. 82(2) (2004), 164–171], we show that the Banach algebra L1(G=H) is Arens irregular for a large class of locally compact groups.

Keywords

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