Every Semitopological Semigroup Compactification of the Group H+[0, 1] is Trivial

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

Let G = H+[0, 1] be the topological group of all orientation-preserving selfhomeomorphisms of the closed interval [0, 1] endowed with the usual compact open topology. We show that every weakly almost periodic function on G is constant. Consequently, G does not admit nontrivial (weakly) continuous representations by linear isometries in reflexive Banach spaces.

Original languageEnglish
Pages (from-to)357-370
Number of pages14
JournalSemigroup Forum
Volume63
Issue number3
DOIs
StatePublished - 2001

Keywords

  • Semitopological semigroup compactification
  • Weakly almost periodic function

Fingerprint

Dive into the research topics of 'Every Semitopological Semigroup Compactification of the Group H+[0, 1] is Trivial'. Together they form a unique fingerprint.

Cite this