## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Ergodic characterizations of character amenability and contractibility of Banach algebras

#### Abstract

For a nonzero character $\phi$ on a Banach algebra ${\frak A}$, we investigate some relations between $\phi$-amenability of ${\frak A}$ and ergodic theory. As the main result, we give a characterization for $\phi$-amenability of ${\frak A}$ in terms of antirepresentations of ${\frak A}$ on a Banach space.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 18, Number 4 (2011), 623-633.

Dates
First available in Project Euclid: 8 November 2011

https://projecteuclid.org/euclid.bbms/1320763126

Digital Object Identifier
doi:10.36045/bbms/1320763126

Mathematical Reviews number (MathSciNet)
MR2907608

Zentralblatt MATH identifier
1241.46026

#### Citation

Nasr-Isfahani, Rasoul; Nemati, Mehdi. Ergodic characterizations of character amenability and contractibility of Banach algebras. Bull. Belg. Math. Soc. Simon Stevin 18 (2011), no. 4, 623--633. doi:10.36045/bbms/1320763126. https://projecteuclid.org/euclid.bbms/1320763126