%0 Journal Article
%T TOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY
%J Journal of Sciences, Islamic Republic of Iran
%I University of Tehran
%Z 1016-1104
%D 2002
%\ 12/01/2002
%V 13
%N 4
%P -
%! TOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY
%R
%X In this paper, we investigate the concept of topological stationary for locally compact semigroups. In [4], T. Mitchell proved that a semigroup S is right stationary if and only if m(S) has a left Invariant mean. In this case, the set of values ?(f) where ? runs over all left invariant means on m(S) coincides with the set of constants in the weak* closed convex hull of right translates of f. The main purpose of this paper is to prove a topological analogue (which is also a generalization) of this theorem for locally compact semigroups.
%U https://jsciences.ut.ac.ir/article_31638_bd7b842b5687cd4d8c4a7ccca3aaeb40.pdf