TY - JOUR
ID - 31638
TI - TOPOLOGICALLY STATIONARY LOCALLY COMPACT SEMIGROUP AND AMENABILITY
JO - Journal of Sciences, Islamic Republic of Iran
JA - JSCIENCES
LA - en
SN - 1016-1104
Y1 - 2002
PY - 2002
VL - 13
IS - 4
SP -
EP -
DO -
N2 - 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.
UR - https://jsciences.ut.ac.ir/article_31638.html
L1 - https://jsciences.ut.ac.ir/article_31638_bd7b842b5687cd4d8c4a7ccca3aaeb40.pdf
ER -