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Journal of Sciences, Islamic Republic of Iran
مقاله 9، دوره 18، شماره 2، شهریور 2007 اصل مقاله (92.02 K)
چکیده
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.

آمار تعداد مشاهده مقاله: 936 تعداد دریافت فایل اصل مقاله: 1,139