Johnson pseudo-contractibility of various classes of Banach algebras (Q1656290)

In this article, the authors introduce another amenability-like property for Banach algebras; namely, what they call Johnson pseudo-contractibility. They show that this notion is strictly weaker than pseudo-contractibility, and it stands strictly between amenability and pseudo-amenability. Relations of Johnson pseudo-contractibility with biflatness, character amenability and approximate amenability are given. Results concerning Johnson pseudo-contractibility of Segal algebras and measure algebras for locally compact groups as well as that of Lipschitz algebras for compact metric spaces are also considered.