Displaying similar documents to “Strong continuity of invariant probability charges”

On heredity of strongly proximal actions

C. Robinson Edward Raja (2003)

Archivum Mathematicum

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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 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.