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ON THE TOPOLOGICAL CENTRE OF L1(G/H)**

Part of: Abstract harmonic analysis

Published online by Cambridge University Press:  15 March 2012

R. RAISI TOUSI ,
R. A. KAMYABI-GOL  and
H. R. EBRAHIMI VISHKI
R. RAISI TOUSI*
Affiliation:
Department of Pure Mathematics, Ferdowsi University of Mashhad, PO Box 1159, Mashhad 91775, Iran (email: raisi@um.ac.ir)
R. A. KAMYABI-GOL
Affiliation:
Department of Pure Mathematics, Ferdowsi University of Mashhad, PO Box 1159, Mashhad 91775, Iran Center of Excellence in Analysis on Algebraic Structures (CEAAS), PO Box 1159-91775, Mashhad, Iran (email: kamyabi@um.ac.ir)
H. R. EBRAHIMI VISHKI
Affiliation:
Department of Pure Mathematics, Ferdowsi University of Mashhad, PO Box 1159, Mashhad 91775, Iran Center of Excellence in Analysis on Algebraic Structures (CEAAS), PO Box 1159-91775, Mashhad, Iran (email: vishki@um.ac.ir)
*
✉For correspondence; e-mail: reihanehraisi@gmail.com
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Abstract

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Let G be a locally compact group and H be a compact subgroup of G. 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 strongly Arens irregular for a large class of locally compact groups.

Keywords

homogeneous spacetopological centreArens productfactorisation propertyMazur property

MSC classification

Secondary: 43A10: Measure algebras on groups, semigroups, etc.
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 86 , Issue 1 , August 2012 , pp. 119 - 125
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

References

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