%0 Journal Article %T INCLUSION RELATIONS CONCERNING WEAKLY ALMOST PERIODIC FUNCTIONS AND FUNCTIONS VANISHING AT INFINITY %J Journal of Sciences, Islamic Republic of Iran %I University of Tehran %Z 1016-1104 %D 1995 %\ 12/01/1995 %V 6 %N 4 %P - %! INCLUSION RELATIONS CONCERNING WEAKLY ALMOST PERIODIC FUNCTIONS AND FUNCTIONS VANISHING AT INFINITY %R %X We consider the space of weakly almost periodic functions on a transformation semigroup (S, X , ?) and show that if X is a locally compact noncompact uniform space, and ? is a separately continuous, separately proper, and equicontinuous action of S on X, then every continuous function on X, vanishing at infinity is weakly almost periodic. We also use a number of diverse examples to show that the conditions we have imposed on the transformation semigroup are almost essential for the inclusion to hold %U https://jsciences.ut.ac.ir/article_31271_c4cabc4a812dd80b527cbae4f3c88738.pdf