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arXiv · 1905.05748

A note on left $\phi$-biflat Banach algebras

A. Sahami·M. Rostami·A. Pourabbas
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Abstract

In this paper, we study the notion of $\phi$-biflatness for some Banach algebras, where $\phi$ is a non-zero multiplicative linear functional. We show that the Segal algebra $S(G)$ is left $\phi$-biflat if and only if $G$ is amenable. Also, we characterize left $\phi$-biflatness of semigroup algebra $\ell^{1}(S)$ in the term of biflatness, where $S$ is a Clifford semigroup.

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A. Sahami, M. Rostami, A. Pourabbas. 2019-05-14. A note on left $\phi$-biflat Banach algebras. https://arxiv.org/abs/1905.05748

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