Some Dynamical Properties of a Weakly Almost Periodic Flow
Commun. Korean Math. Soc. 1998 Vol. 13, No. 1, 123-129
Hyung Soo Song Kwangwoon University
Abstract : In this paper, we study some dynamical properties of a weakly almost periodic flow. In particular we get, in a weakly almost periodic flow $(X,T)$, the groups $I$ and $A(I)$ of all automorphisms of $I$ are isomorphic, where $E(X)$ is the enveloping semigroup of $(X,T)$ and $I$ is the minimal right ideal in $E(X)$ .
Keywords : Enveloping semigroup, Minimal right ideal, Proximal, Digital, Almost periodic flow, Weakly almost periodic flow, Ellis group