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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. | ||
عنوان مقاله [English] | ||
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چکیده [English] | ||
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آمار تعداد مشاهده مقاله: 819 تعداد دریافت فایل اصل مقاله: 1,001 |