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 ...