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arXiv · 1711.06757

Weak amenability of weighted Orlicz algebras

Serap Öztop·Ebrahim Samei·Varvara Shepelska
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Abstract

Let G be a locally compact abelian group, $\omega:G\to (0,\infty)$ be a weight, and ($\Phi$,$\Psi$) be a complementary pair of strictly increasing continuous Young functions. We show that for the weighted Orlicz algebra $L^\Phi_\omega(G)$, the weak amenability is obtained under conditions similar to the one considered by Y. Zhang for weighted group algebras. Our methods can be applied to various families of weighted Orlicz algebras, including weighted $L^p$-spaces.

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Serap Öztop, Ebrahim Samei, Varvara Shepelska. 2017-11-17. Weak amenability of weighted Orlicz algebras. https://doi.org/10.1007/s00013-017-1119-z

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