Arens regularity of weighted convolution algebras that arise from totally ordered semilattices

M. Eugenia Celorrio

Arens regularity of weighted convolution algebras that arise from totally ordered semilattices

Functional Analysis 2024-01-18 v1

Authors: M. Eugenia Celorrio

Abstract

We study Arens regularity of weighted semigroup convolution algebras for the specific case of totally ordered semilattices. This paper is a natural continuation of that of Dales and Strauss (2022) [DS22], where they studied the unweighted case. We also study some other properties of these algebras, such as the existence of Banach-algebra preduals.

Keywords

Arens regularity weighted convolution algebras totally ordered semilattices Banach algebra preduals semigroup algebras

Cite

@article{arxiv.2401.09330,
  title  = {Arens regularity of weighted convolution algebras that arise from totally ordered semilattices},
  author = {M. Eugenia Celorrio},
  journal= {arXiv preprint arXiv:2401.09330},
  year   = {2024}
}