2021/11/26 by Rejali, Ali, Ranjbari, Ali
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2111.13752
In this paper, we introduce and study some notations of amenability such as n-ideal amenability and n-weak amenability for Frechet algebra and we examine how these concepts in Banach algebra can be generalized and defined for Frechet algebra. We will also examine some inherited properties of n-ideal and n-weak amenable Frechet algebra and determine the relations between m and n-weak amenability and m and n-ideal amenability for Frechet algebra. Also, the relation of these new concepts of amenability of a Frechet algebra and its unitization is investigated.