Abstract
In this paper we characterize the derivations from $\frak E_p(\widehat{G})$ into $\frak E_q(\widehat{G})$, $1\leq p,q\leq\infty$. We find necessary and sufficient conditions for weak amenability of Banach algebras $\frak E_p(\widehat{G})$, $1\leq p\leq\infty$. Moreover we find a necessary condition for the weak amenability of the convolution Banach algebra $A(G)$ on a compact group $G$, where its sufficiency was proved earlier by Ghahramani and Lau.
Citation
M. Abolghasemi. H. Samea. "Derivations on certain matrix algebras with applications to compact groups." Bull. Belg. Math. Soc. Simon Stevin 16 (2) 361 - 372, May 2009. https://doi.org/10.36045/bbms/1244038146
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