Geodesic
Approximate biflatness and Johnson pseudo-contractibility of some Banach algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 1, pp. 83-92.

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We study the structure of Lipschitz algebras under the notions of approximate biflatness and Johnson pseudo-contractibility. We show that for a compact metric space $X$, the Lipschitz algebras ${\rm Lip}_{\alpha}(X)$ and ${\rm lip}_{\alpha}(X)$ are approximately biflat if and only if $X$ is finite, provided that $0\alpha1$. We give a necessary and sufficient condition that a vector-valued Lipschitz algebras is Johnson pseudo-contractible. We also show that some triangular Banach algebras are not approximately biflat.
DOI : 10.14712/1213-7243.2020.004
Classification : 46H05, 46H20, 46M10
Keywords: approximate biflatness; Johnson pseudo-contractibility; Lipschitz algebra; triangular Banach algebra 
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Sahami, Amir; Omidi, Mohammad R.; Ghaderi, Eghbal; Zangeneh, Hamzeh. Approximate biflatness and Johnson pseudo-contractibility of some Banach algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 1, pp. 83-92. doi : 10.14712/1213-7243.2020.004. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.004/

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