Journal of Sciences, Islamic Republic of Iran, ( ISI ), Volume (18), No (1), Year (2007-8) , Pages (41-48)

Title : ( The Topological Center of the Banach Algebra UCl(K)* )

Authors: Rajab Ali Kamyabi Gol ,
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Abstract

Le K be a (commutative) locally compact hypergroup with a left Haar measure. Let L1(K) be the hypergroup algebra of K and UCl(K) be the Banach space of bounded left uniformly continuous complex- valued functions on K. In this paper we show, amoung other things, that the topological (algebraic) center of the Banach algebra UCl(K)* is M(K), the measure algebra of K.

Keywords

Hypergroup; Hypergroup Algebra; Measure Algebra; Second Conjugate Algebra; Algebraic Center