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The topological centersof LUC(S)* and Ma(S)** of certainfoundation semigroups

Published online by Cambridge University Press:  08 November 2000

M. Lashkarizadeh Bami
M. Lashkarizadeh Bami
Affiliation:
Department of Mathematics, University of Isfahan, Isfahan, Iran Department of Mathematics, Institute for Studies in Theoretical Physics and Mathematics, Tehran, P.O. Box 19395-1795, Iran
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Abstract

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In the present paper, for a large family of topological semigroups namely, compactly cancellative and right cancellative foundation semigroups S, we study the topological centers of the Banach algebrasLUC(S) * and M_a(S)**. We also give a generalization of a known result of Lau and Lorsert by showing that for such topological semigroups the topological center of LUC(S)* (M_a(S)**, respectively) is the same as M(S) (M_a(S), respectively).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 42 , Issue 3 , September 2000 , pp. 335 - 343
Copyright
2000 Glasgow Mathematical Journal Trust