Geodesic
Amenability and weak amenability of $l^1$-algebras of polynomial hypergroups
Rupert Lasser 1
1 GSF-National Research Center for Environment and Health Institute of Biomathematics and Biometry Ingolstädter Landstraße 1 85764 Neuherberg, Germany and Centre of Mathematics Munich University of Technology 85748 Garching, Germany
Studia Mathematica, Tome 182 (2007) no. 2, pp. 183-196 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We investigate amenability and weak amenability of the $l^1$-algebra of polynomial hypergroups. We derive conditions for (weak) amenability adapted to polynomial hypergroups and show that these conditions are often not satisfied. However, we prove amenability for the hypergroup induced by the Chebyshev polynomials of the first kind.
DOI : 10.4064/sm182-2-6
Keywords: investigate amenability weak amenability algebra polynomial hypergroups derive conditions weak amenability adapted polynomial hypergroups these conditions often satisfied however prove amenability hypergroup induced chebyshev polynomials first kind

Rupert Lasser  1

1 GSF-National Research Center for Environment and Health Institute of Biomathematics and Biometry Ingolstädter Landstraße 1 85764 Neuherberg, Germany and Centre of Mathematics Munich University of Technology 85748 Garching, Germany 
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Rupert Lasser. Amenability and weak amenability of $l^1$-algebras
 of polynomial hypergroups. Studia Mathematica, Tome 182 (2007) no. 2, pp. 183-196. doi: 10.4064/sm182-2-6

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