arXiv subjects

Zahra Alimohammadi

Publications and source records attributed to Zahra Alimohammadi.

2 recordsLinked to original sources

arXiv2022

On the Arens regularity of Frechet algebras and their biduals

In This paper, we study the concept of weakly almost periodic functions on Frechet algebras. For a Frechet algebra A, we show that WAP(A)=wap(A). We also show that A** is Arens regular if and only if both A and WAP(A)* are Arens regular. Finally, for a sequence of Frechet algebras (An), we prove that the Frechet algebra \ell^1-\prod An is Arens regular if and only if each An is Arens regular.

math.FA↗

arXiv2018

Frechet algebras in abstract Harmonic analysis

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.

math.FA↗