English

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

Functional Analysis 2019-05-15 v1

Abstract

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

Keywords

Cite

@article{arxiv.1905.05748,
  title  = {A note on left $\phi$-biflat Banach algebras},
  author = {A. Sahami and M. Rostami and A. Pourabbas},
  journal= {arXiv preprint arXiv:1905.05748},
  year   = {2019}
}
R2 v1 2026-06-23T09:06:26.155Z