| Institution: | (1) Department of Mathematics, Uinversity of Zanjan, Zanjan, Iran;(2) The Institute for Studies in Theoretical, Physics and Mathematics (IPM), Tehran 19395 and Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran |
| Abstract: | The authors have recently introduced and studied a locally convex topology β1(S) on the semigroup algebra Ma(S) of a locally compact semigroup S; as the main result, they showed that the strong dual of (Ma(S),β1(S)) can be identified with the Banach space L∞0(S,Ma(S)) for a large class of locally compact semigroups S. Here, an application of this result is made to define and investigate
an Arens multiplication on the second dual of (Ma(S),β1(S)). |
