Kim, Jin Bai; Kim, Hee Sik Structure theory for a class of convolution algebras of vector-valued measures. (English) Zbl 0706.43002 Bull. Inst. Math., Acad. Sin. 17, No. 4, 327-338 (1989). Let S be a totally ordered compact topological semigroup, the topology on S being defined in terms of ordering. Let M(S,X) denote convolution algebra of vector-valued measures on S with values in Banach algebra X. It is shown that M(S,X) is a commutative Banach algebra. The maximal ideal space of M(S,X) is identified. If X is semi-simple then so is M(S,X). Reviewer: H.L.Vasudeva MSC: 43A10 Measure algebras on groups, semigroups, etc. 46E40 Spaces of vector- and operator-valued functions Keywords:totally ordered compact topological semigroup; convolution algebra; vector-valued measures PDFBibTeX XMLCite \textit{J. B. Kim} and \textit{H. S. Kim}, Bull. Inst. Math., Acad. Sin. 17, No. 4, 327--338 (1989; Zbl 0706.43002)