A+ CATEGORY SCIENTIFIC UNIT

Amenability and weak amenability of $l^1$-algebras of polynomial hypergroups

Volume 182 / 2007

Rupert Lasser Studia Mathematica 182 (2007), 183-196 MSC: Primary 43A62, 46H20; Secondary 43A07, 46H25. DOI: 10.4064/sm182-2-6

Abstract

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.

Authors

  • Rupert LasserGSF-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
    e-mail

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