On $\varphi$-inner amenable Banach algebras
Volume 122 / 2011
Colloquium Mathematicum 122 (2011), 1-10
MSC: 43A07, 43A60.
DOI: 10.4064/cm122-1-1
Abstract
Generalizing the concept of inner amenability for Lau algebras, we define and study the notion of $\varphi$-inner amenability of any Banach algebra $A$, where $\varphi$ is a homomorphism from $A$ onto $\mathbb{C}$. Several characterizations of $\varphi$-inner amenable Banach algebras are given.
