E-mail: creraja@isibang.ac.in, raja_robinson@hotmail.com
Abstract.
We prove that action of a semigroup $T$ on compact metric space $X$
by continuous
selfmaps is strongly proximal if and only if $T$ action on ${\mathcal
P}(X)$ is strongly
proximal. As a consequence we prove that affine actions on certain
compact convex
subsets of finite-dimensional vector spaces are strongly proximal if
and only if the action
is proximal.
AMSclassification. 37B05, 60B05.
Keywords. Proximal and strongly proximal actions, and probability measures.