English

Frechet algebras in abstract Harmonic analysis

Functional Analysis 2018-11-28 v1

Abstract

We provide a survey of the similarities and differences between Banach and Frechet algebras including some known results and examples. We also collect some important generalizations in abstract harmonic analysis; for example, the generalization of the concepts of vector-valued Lipschitz algebras, abstract Segal algebras, Arens regularity, amenability, weak amenability, ideal amenability, etc.

Keywords

Cite

@article{arxiv.1811.10987,
  title  = {Frechet algebras in abstract Harmonic analysis},
  author = {Zahra Alimohammadi and Ali Rejali},
  journal= {arXiv preprint arXiv:1811.10987},
  year   = {2018}
}
R2 v1 2026-06-23T06:22:02.331Z