English

Biflat-like Banach algebras

Functional Analysis 2017-06-15 v1

Abstract

Given a Banach algebra A \mathcal{A} and a continuous homomorphism σ\sigma on it, the notion of σ\sigma-biflatness for A \mathcal{A} is introduced. This is a generalization of biflatness and it is shown that they are distinct. The relations between σ\sigma-biflatness and some other close concepts such as σ\sigma-biprojectivity and σ\sigma-amenability are studied. The σ\sigma-biflatness of tensor product of Banach algebras are also discussed.

Keywords

Cite

@article{arxiv.1706.04437,
  title  = {Biflat-like Banach algebras},
  author = {Sanaz Haddad sabzevar and Amin Mahmoodi},
  journal= {arXiv preprint arXiv:1706.04437},
  year   = {2017}
}
R2 v1 2026-06-22T20:18:32.562Z