@article{Abtahi_Rahnama_2020, title={Essential amenability of Fréchet algebras}, volume={72}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/830}, DOI={10.37863/umzh.v72i7.830}, abstractNote={<p>UDC 517.98</p> <p>Essential amenability of Banach algebras have been defined and investigated. Here, this concept will be introduced for Frechet algebras. Then a number of well-known results of essential amenability of Banach algebras are generalized for Fréchet algebras. Moreover, related results about Segal–Fréchet algebras are provided. As the main result, it is provedthat if $(\mathcal{A} , p_{\ell})$ is an amenable Fréchet algebra with a uniformly bounded approximate identity, then every symmetric Segal – Fréchet algebra in $(\mathcal{A} , p_{\ell})$ is essentially amenable.<br><br></p>}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Abtahi , F. and Rahnama, S.}, year={2020}, month={Jul.}, pages={867-876} }