Compactification of bounded semigroup representations

Autor: Kreulich, Josef
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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 \cite{RuppertLNM}, and the adjoint theory. Moreover, the given setting is refined to the case of bounded $C_0-$semigroups.
Comment: right semitopological semigroups, compactification, $C_0-$semigroups, almost periodicity
Databáze: arXiv