Generalization of the weak amenability on various Banach algebras

Mathematica Bohemica

卷:144

关键词: Banach algebra;    $(\varphi,\psi)$-derivation;    group algebra;    locally compact group;    measure algebra;    Segal algebra;    weak amenability;   

DOI  :  10.21136/MB.2018.0046-17

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown