Geodesic
On heredity of strongly proximal actions
Archivum mathematicum, Tome 39 (2003) no. 1, pp. 51-55

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 37A15, 37B05, 54H20, 60B05
Keywords: proximal and strongly proximal actions; probability measures 
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     author = {Raja, C. Robinson Edward},
     title = {On heredity of strongly proximal actions},
     journal = {Archivum mathematicum},
     pages = {51--55},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2003},
     mrnumber = {1982211},
     zbl = {1110.37005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2003__39_1_a4/}
}
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Raja, C. Robinson Edward. On heredity of strongly proximal actions. Archivum mathematicum, Tome 39 (2003) no. 1, pp. 51-55. http://geodesic.mathdoc.fr/item/ARM_2003__39_1_a4/