Means and Følner Condition on Polynomial Hypergroups

Autor: Volker Hösel, Michael Hofmann, Rupert Lasser
Rok vydání: 2010
Předmět:
Zdroj: Mediterranean Journal of Mathematics. 7:75-88
ISSN: 1660-5454
1660-5446
DOI: 10.1007/s00009-010-0028-1
Popis: We investigate summing sequences in the context of polynomial hypergroups. It will be shown that the summing sequence \({(S_{n})_{n\in\mathbb{N}_{0}}}\), where Sn = {0, 1, . . . , n}, is equivalent to the growth condition (H) of the Haar weights h(n). This condition is also sufficient for the existence of means which satisfy a strong form of translation invariance. Furthermore we give exact representations of the unique translation invariant mean on the space of weakly almost periodic sequences for a large class of polynomial hypergroups.
Databáze: OpenAIRE
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