## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Johnson pseudo-contractibility of various classes of Banach algebras

#### Abstract

The notion of Johnson pseudo-contractibility for Banach algebras is introduced. We investigate this notion for Banach algebras defined on locally compact groups. For a compact metric space $X$ and $\alpha>0$, we show that the Lipschitz algebra $Lip_{\alpha}(X)$ is Johnson pseudo-contractible if and only if $X$ is finite. We give some examples to distinguish our new notion with the classical ones.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 25, Number 2 (2018), 171-182.

Dates
First available in Project Euclid: 27 June 2018

https://projecteuclid.org/euclid.bbms/1530065007

Digital Object Identifier
doi:10.36045/bbms/1530065007

Mathematical Reviews number (MathSciNet)
MR3819120

Zentralblatt MATH identifier
06916053

#### Citation

Sahami, A.; Pourabbas, A. Johnson pseudo-contractibility of various classes of Banach algebras. Bull. Belg. Math. Soc. Simon Stevin 25 (2018), no. 2, 171--182. doi:10.36045/bbms/1530065007. https://projecteuclid.org/euclid.bbms/1530065007