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TOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 8، دوره 13، شماره 4، زمستان 2002 اصل مقاله (234.16 K) | ||
| چکیده | ||
| In this paper, we investigate the concept of topological stationary for locally compact semigroups. In [4], T. Mitchell proved that a semigroup S is right stationary if and only if m(S) has a left Invariant mean. In this case, the set of values ?(f) where ? runs over all left invariant means on m(S) coincides with the set of constants in the weak* closed convex hull of right translates of f. The main purpose of this paper is to prove a topological analogue (which is also a generalization) of this theorem for locally compact semigroups. | ||
| عنوان مقاله [English] | ||
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| چکیده [English] | ||
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