TY - JOUR
AU - F. Abtahi
AU - S. Rahnama
PY - 2020/07/15
Y2 - 2020/08/08
TI - Essential amenability of Fréchet algebras
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 7
SE - Research articles
DO - 10.37863/umzh.v72i7.830
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/830
AB - UDC 517.98Essential 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.
ER -