Amenability and weak amenability of l¹-algebras of polynomial hypergroups

• Autorzy: Rupert Lasser
• Języki publikacji: EN

Abstrakty

EN

We investigate amenability and weak amenability of the l¹-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.

Kategorie tematyczne

• 43A62: Hypergroups
• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 43A07: Means on groups, semigroups, etc.; amenable groups
• 46H20: Structure, classification of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 182
• Numer: 2
• Strony: 183-196

Daty

wydano

2007

Twórcy

autor

Rupert Lasser

• GSF-National Research Center, for Environment and Health, Institute of Biomathematics and Biometry, Ingolstädter Landstraße 1, 85764 Neuherberg, Germany
• Centre of Mathematics, Munich University of Technology, 85748 Garching, Germany

Identyfikatory

DOI

10.4064/sm182-2-6