Module Biflatness of the second dual of Banach algebras

Abasalt Bodaghi; Ali Jabbari

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arXiv · 1506.03035

Module Biflatness of the second dual of Banach algebras

Abasalt Bodaghi·Ali Jabbari

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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.

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Abasalt Bodaghi, Ali Jabbari. 2015-06-09. Module Biflatness of the second dual of Banach algebras. https://arxiv.org/abs/1506.03035

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