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arxiv: 1905.05748 · v1 · pith:TJQK6KLXnew · submitted 2019-05-14 · 🧮 math.FA

A note on left φ-biflat Banach algebras

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keywords biflatnessleftalgebraalgebrasbanachbiflatsemigroupamenable
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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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