On Character Amenability of Fr´ echet Algebras
1 Department of Basic Sciences, Babcock University, Ilishan-Remo, Ogun State, Nigeria
2 Department of Mathematical Sciences, Nigeria Army University Biu, Borno State, Nigeria
* Corresponding author: ayindes@babcock.edu.ng
2 Department of Mathematical Sciences, Nigeria Army University Biu, Borno State, Nigeria
* Corresponding author: ayindes@babcock.edu.ng
Abstract
In this paper we examine the notion of character amenability for
Fr´echet algebras A (:= Arens-Michael algebras A) with emphasis
on the continuous point derivation on A. We show that a Fr´echet
algebra with a locally bounded approximate identity (lbai) and lo
cally bounded approximate diagonal (lbad) is character amenable.
Keywords
Fr´echet algebras
Amenability
locally bounded approximate identity
locally bounded approximate diagonal
How to Cite
Ayinde, S. A., & Agboola, S. O. (2021). On Character Amenability of Fr´ echet Algebras. Nigerian Journal of Mathematics and Applications, 31(1), 97−107. https://doi.org/10.67897/njma.2021.ed5qp6k6
S. A. Ayinde, and S. O. Agboola, "On Character Amenability of Fr´ echet Algebras," Nigerian Journal of Mathematics and Applications, vol. 31, no. 1, pp. 97−107, July 2021. doi: 10.67897/njma.2021.ed5qp6k6
