Module Biflatness of the second dual of Banach algebras

Abasalt Bodaghi; Ali Jabbari

Module Biflatness of the second dual of Banach algebras

Functional Analysis 2015-06-10 v1

Authors: Abasalt Bodaghi , Ali Jabbari

Abstract

Let $\mathcal A$ be a Banach algebra. Using the concept of module biflatness, we show that the module amenability of the second dual $\mathcal A^{**}$ (with the first Arens product) necessitates the module amenability of $\mathcal A$ . We give some examples of Banach algebras $\mathcal A$ such that $\mathcal A^{**}$ are module biflat, but which are not themselves module biflat.

Keywords

Banach algebra second dual module biflatness module amenability first Arens product module biflat example

Cite

@article{arxiv.1506.03035,
  title  = {Module Biflatness of the second dual of Banach algebras},
  author = {Abasalt Bodaghi and Ali Jabbari},
  journal= {arXiv preprint arXiv:1506.03035},
  year   = {2015}
}

Comments

Accepted:Mathematical Reports. arXiv admin note: text overlap with arXiv:0912.4005

Module Biflatness of the second dual of Banach algebras

Abstract

Keywords

Cite

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