Compactification of bounded semigroup representations
arXiv:2005.13006
Abstract
The given study uses the methods to identify compactifications of semigroups which reside in the space This method generalizes in some sense the deLeeuw-Glicksberg-Theory to a greater class of functions. The approach provides an abstract approach to several notions of almost periodicity, which mainly involving right semitopological semigroups \cite{RuppertLNM}, and the adjoint theory. Moreover, the given setting is refined to the case of bounded semigroups.
right semitopological semigroups, compactification, semigroups, almost periodicity