Frechet algebras in abstract Harmonic analysis

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.

Cited by in corpus (2)

• The Bochner-Schoenberg-Eberlein property for commutative Frechet algebras
• The Bochner-Schoenberg-Eberlein Property for Fréchet C*-algebras and uniform Fréchet Algebras