English

Compactification of bounded semigroup representations

Functional Analysis 2020-06-05 v2

Abstract

The given study uses the methods to identify compactifications of semigroups SL(X),S\subset L(X), which reside in the space L(X).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 C0C_0-semigroups.

Keywords

Cite

@article{arxiv.2005.13006,
  title  = {Compactification of bounded semigroup representations},
  author = {Josef Kreulich},
  journal= {arXiv preprint arXiv:2005.13006},
  year   = {2020}
}

Comments

right semitopological semigroups, compactification, $C_0-$semigroups, almost periodicity

R2 v1 2026-06-23T15:50:05.706Z