Abstract
The notion of Johnson pseudo-contractibility for Banach algebras is introduced. We investigate this notion for Banach algebras defined on locally compact groups. For a compact metric space $X$ and $\alpha>0$, we show that the Lipschitz algebra $Lip_{\alpha}(X)$ is Johnson pseudo-contractible if and only if $X$ is finite. We give some examples to distinguish our new notion with the classical ones.
Citation
A. Sahami. A. Pourabbas. "Johnson pseudo-contractibility of various classes of Banach algebras." Bull. Belg. Math. Soc. Simon Stevin 25 (2) 171 - 182, june 2018. https://doi.org/10.36045/bbms/1530065007
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