On heredity of strongly proximal actions

Raja, C. Robinson Edward. "On heredity of strongly proximal actions." Archivum Mathematicum 039.1 (2003): 51-55. <http://eudml.org/doc/249131>.

@article{Raja2003,
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.},
author = {Raja, C. Robinson Edward},
journal = {Archivum Mathematicum},
keywords = {proximal and strongly proximal actions; probability measures; strongly proximal sections; probability measures},
language = {eng},
number = {1},
pages = {51-55},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On heredity of strongly proximal actions},
url = {http://eudml.org/doc/249131},
volume = {039},
year = {2003},
}

TY - JOUR
AU - Raja, C. Robinson Edward
TI - On heredity of strongly proximal actions
JO - Archivum Mathematicum
PY - 2003
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 039
IS - 1
SP - 51
EP - 55
AB - 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.
LA - eng
KW - proximal and strongly proximal actions; probability measures; strongly proximal sections; probability measures
UR - http://eudml.org/doc/249131
ER -