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arXiv · 1506.03038

Approximate weak amenability of certain Banach algebras

Behrouz Shojaee·Abasalt Bodaghi
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Abstract

It is shown that for a locally compact group $G$, if $L^{1}(G)^{**}$ is approximately weakly amenable, then $M(G)$ is approximately weakly amenable. Then, new notions of approximate weak amenability and approximate cyclic amenability for Banach algebras are introduced. Bounded $\omega^{*}$-approximately weakly [cyclic] amenable $\ell^{1}$-Munn algebras are characterized.

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Behrouz Shojaee, Abasalt Bodaghi. 2015-06-09. Approximate weak amenability of certain Banach algebras. https://arxiv.org/abs/1506.03038

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