Essential amenability of Fréchet algebras
DOI:
https://doi.org/10.37863/umzh.v72i7.830Keywords:
Fr´echet algebra, Banach algebraAbstract
UDC 517.98
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 (A,pℓ) is an amenable Fréchet algebra with a uniformly bounded approximate identity, then every symmetric Segal – Fréchet algebra in (A,pℓ) is essentially amenable.
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