On left $\varphi$-biflat Banach algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 3, pp. 337-344.

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We study the notion of left $\varphi$-biflatness for Segal algebras and semigroup algebras. We show that the Segal algebra $S(G)$ is left $\varphi$-biflat if and only if $G$ is amenable. Also we characterize left $\varphi$-biflatness of semigroup algebra $l^{1}(S)$ in terms of biflatness, when $S$ is a Clifford semigroup.
DOI : 10.14712/1213-7243.2020.027
Classification : 43A07, 43A20, 46M10
Keywords: left $\varphi$-biflat; Segal algebra; semigroup algebra; locally compact group
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Sahami, Amir; Rostami, Mehdi; Pourabbas, Abdolrasoul. On left $\varphi$-biflat Banach algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 3, pp. 337-344. doi : 10.14712/1213-7243.2020.027. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.027/

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