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. (1381). TOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY. , 13(4), -.
. "TOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY". , 13, 4, 1381, -.
. (1381). 'TOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY', , 13(4), pp. -.
. TOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY. , 1381; 13(4): -.

TOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY

Journal of Sciences, Islamic Republic of Iran
مقاله 8، دوره 13، شماره 4، اسفند 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.
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