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

Authors :
Sahami, A.
Rostami, M.
Pourabbas, A.
Publication Year :
2019

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.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1905.05748
Document Type :
Working Paper