Function spaces on tensor product of semigroups


Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, P. O. Box 13185/768, Tehran, Iran


In this paper, we characterize the function space and -space of the [topological] tensor product of [topological]
semigroups. As a consequence, for arbitrary [topological] groups and , it will be shown that    is an
extension of   by a proper normal subgroup N i,e.