Compactification of bounded semigroup representations

Abstract

The given study uses the methods to identify compactifications of semigroups $S\subset L(X),$ which reside in the space $L(X).$ 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 RuppertLNM, and the adjoint theory. Moreover, the given setting is refined to the case of bounded $C_0-$