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arXiv · 1410.5159

Closed ideals with bounded $\Delta$-weak approximate identities in some certain Banach algebras

Javad Laali·Mohammad Fozouni
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Abstract

It is shown that a locally compact group $G$ is amenable if and only if some certain closed ideals of the Fig\`{a}-Talamanca-Herz algebra $A_{p}(G)$ admit bounded $\Delta$-weak approximate identities. Also, similar results are obtained for the function algebras $\mathfrak{L}A(G)$ and $C_{0}^{w}(G)$.

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Javad Laali, Mohammad Fozouni. 2014-10-20. Closed ideals with bounded $\Delta$-weak approximate identities in some certain Banach algebras. https://arxiv.org/abs/1410.5159

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