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arXiv · 1712.05058

Johnson pseudo-contractibility of certain Banach algebras and their nilpotent ideals

M. Askari-Sayah·A. Pourabbas·A. Sahami
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Abstract

In this paper, we study the notion of Johnson pseudo-contractibility for certain Banach algebras. For a bicyclic semigroup $S$, we show that $\ell^{1}(S)$ is not Johnson pseudo-contractible. Also for a Johnson pseudo-contractible Banach algebra $A$, we show that $A$ has no non-zero complemented closed nilpotent ideal.

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BibTeXRIS

M. Askari-Sayah, A. Pourabbas, A. Sahami. 2017-12-14. Johnson pseudo-contractibility of certain Banach algebras and their nilpotent ideals. https://arxiv.org/abs/1712.05058

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