University of Tehran
Journal of Sciences, Islamic Republic of Iran
10161104
18
2
2007
06
01


31029
EN
Journal Article
1970
01
01
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.
https://jsciences.ut.ac.ir/article_31029_95f5c4d654b611ba0ab45032a80c47e4.pdf