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On left $ϕ$ -biflat Banach algebras

Amir Sahami; Mehdi Rostami; Abdolrasoul Pourabbas — 2020

Commentationes Mathematicae Universitatis Carolinae

We study the notion of left $ϕ$ -biflatness for Segal algebras and semigroup algebras. We show that the Segal algebra $S (G)$ is left $ϕ$ -biflat if and only if $G$ is amenable. Also we characterize left $ϕ$ -biflatness of semigroup algebra $l^{1} (S)$ in terms of biflatness, when $S$ is a Clifford semigroup.

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On left ϕ -biflat Banach algebras

On left $ϕ$ -biflat Banach algebras