Point derivations on the L¹-algebra of polynomial hypergroups

• Autorzy: Rupert Lasser
• Języki publikacji: EN

Abstrakty

EN

We investigate whether the L¹-algebra of polynomial hypergroups has non-zero bounded point derivations. We show that the existence of such point derivations heavily depends on growth properties of the Haar weights. Many examples are studied in detail. We can thus demonstrate that the L¹-algebras of hypergroups have properties (connected with amenability) that are very different from those of groups.

Kategorie tematyczne

• 43A15: L p -spaces and other function spaces on groups, semigroups, etc.
• 43A62: Hypergroups
• 43A07: Means on groups, semigroups, etc.; amenable groups
• 46H20: Structure, classification of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 116
• Numer: 1
• Strony: 15-30

Daty

wydano

2009

Twórcy

autor

Rupert Lasser

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

Identyfikatory

DOI

10.4064/cm116-1-2