THE ANALOGUE OF WEIGHTED GROUP ALGEBRA FOR SEMITOPOLOGICAL SEMIGROUPS
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 topol...
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| Format: | Article |
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| Language: | English |
| Published: |
University of Tehran
1995-06-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31417_d223c10a8893ae2bd7a1913469869e5e.pdf |
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| Summary: | 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] |
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| ISSN: | 1016-1104 2345-6914 |