TY - JOUR ID - 31029 TI - - JO - Journal of Sciences, Islamic Republic of Iran JA - JSCIENCES LA - en SN - 1016-1104 Y1 - 2007 PY - 2007 VL - 18 IS - 2 SP - EP - DO - N2 - 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. UR - https://jsciences.ut.ac.ir/article_31029.html L1 - https://jsciences.ut.ac.ir/article_31029_95f5c4d654b611ba0ab45032a80c47e4.pdf ER -