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THE ANALOGUE OF WEIGHTED GROUP ALGEBRA FOR SEMITOPOLOGICAL SEMIGROUPS | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 8، دوره 6، شماره 2، شهریور 1995 اصل مقاله (647.41 K) | ||
چکیده | ||
In [1,2,3], A. C. Baker and J.W. Baker studied the subspace Ma(S) of the convolution measure algebra M, (S) of a locally compact semigroup. H. Dzinotyiweyi in [5,7] considers an analogous measure space on a large class of C-distinguished topological semigroups containing all completely regular topological semigroups. In this paper, we extend the definitions to study the weighted semigroup algebra Ma (S, o), where o is a weight function on a Cdistinguished semitopological semigroup S. We will show that this subspace is a convolution measure algebra. As acorollary, this answers in the affirmative a question raised by J.W. Baker and H. Dzinotyiweyi in [6] | ||
عنوان مقاله [English] | ||
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چکیده [English] | ||
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