%0 Journal Article
%T -
%J Journal of Sciences, Islamic Republic of Iran
%I University of Tehran
%Z 1016-1104
%D 2007
%\ 06/01/2007
%V 18
%N 2
%P -
%! -
%R
%X In this paper we give some characterizations of topological extreme amenability. Also we answer a question raised by Ling [5]. In particular we prove that if T is a Borel subset of a locally compact semigroup S such that M(S)* has a multiplicative topological left invariant mean then T is topological left lumpy if and only if there is a multiplicative topological left invariant mean M on M(S)* such that M(?T)=1, where ?T is the characteristic functional of T. Consequently if T is a topological left lumpy locally compact Borel subsemigroup of a locally compact semigroup S, then T is extremely topological left amenable if and only if S is.
%U https://jsciences.ut.ac.ir/article_31029_95f5c4d654b611ba0ab45032a80c47e4.pdf