Geodesic
Generalization of the weak amenability on various Banach algebras
Mathematica Bohemica, Tome 144 (2019) no. 1, pp. 1-11.

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The generalized notion of weak amenability, namely $(\varphi ,\psi )$-weak amenability, where $\varphi ,\psi $ are continuous homomorphisms on a Banach algebra ${\mathcal A}$, was introduced by Bodaghi, Eshaghi Gordji and Medghalchi (2009). In this paper, the $(\varphi ,\psi )$-weak amenability on the measure algebra $M(G)$, the group algebra $L^1(G)$ and the Segal algebra $S^1(G)$, where $G$ is a locally compact group, are studied. As a typical example, the $(\varphi ,\psi )$-weak amenability of a special semigroup algebra is shown as well.
DOI : 10.21136/MB.2018.0046-17
Classification : 43A20, 46H20
Keywords: Banach algebra; $(\varphi, \psi )$-derivation; group algebra; locally compact group; measure algebra; Segal algebra; weak amenability 
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Eshaghi Gordji, Madjid; Jabbari, Ali; Bodaghi, Abasalt. Generalization of the weak amenability on various Banach algebras. Mathematica Bohemica, Tome 144 (2019) no. 1, pp. 1-11. doi : 10.21136/MB.2018.0046-17. http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0046-17/

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