English

Amenability modulo an ideal of Frechet algebras

Functional Analysis 2019-01-09 v1

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.

Keywords

Cite

@article{arxiv.1901.02180,
  title  = {Amenability modulo an ideal of Frechet algebras},
  author = {Somayeh Rahnama and Ali Rejali},
  journal= {arXiv preprint arXiv:1901.02180},
  year   = {2019}
}