Amenability modulo an ideal of Frechet algebras

2019/01/08 by Rahnama, Somayeh, Rejali, Ali
#43A99 #46H05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1901.02180

Abstract

Amenability modulo an ideal of a Banach algebra have been defined and studied. In this paper we introduce the concept of amenability modulo an ideal of a Frechet algebra and investigate some known results about amenability modulo an ideal of a Frechet algebra. Also we show that a Frechet algebra A is amenable modulo an ideal if and only if A is isomorphic to a reduced limit of amenable modulo an ideal of Banach algebras.

Related

• n-ideal and n-weak amenability of Frechet algebras
• Locally bounded approximate diagonal modulo an ideal of Frechet algebras
• Relative amenability of Banach algebras
• Homomorphisms, amenability and weak amenability of Banach algebras
• Ideal amenability of Banach algebras on locally compact groups