论文标题
加权测量代数及其第二双的弱舒适性
Weak amenability of weighted measure algebras and their second duals
论文作者
论文摘要
在本文中，我们研究了加权度量代数的弱舒适性，并证明$ m（g，ω）$在且仅当$ g $是离散并且每个有界的准添加函数都内部时是微弱的。我们还研究了$ l^1（g，ω）^{**} $和$ m（g，ω）^{**} $的弱舒适性，并表明本文Banach代数的弱舒适性等于$ g $的有限性。这给出了有关$ l^1（g，ω）^{**} $和$ m（g，ω）^{**} $的问题的问题。
In this paper, we study the weak amenability of weighted measure algebras and prove that $M(G, ω)$ is weakly amenable if and only if $G$ is discrete and every bounded quasi-additive function is inner. We also study the weak amenability of $L^1(G, ω)^{**}$ and $M(G, ω)^{**}$ and show that the weak amenability of theses Banach algebras are equivalent to finiteness of $G$. This gives an answer to the question concerning weak amenability of $L^1(G, ω)^{**}$ and $M(G, ω)^{**}$.
