On the α-amenability of hypergroups |
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Authors: | Ahmadreza Azimifard |
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Institution: | (1) Technical University of Munich, Garching, Germany |
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Abstract: | Let UC(K) denote the Banach space of all bounded uniformly continuous functions on a hypergroup K. The main results of this article concern the α-amenability of UC(K) and quotient and product of hypergroups. It is also shown that a Sturm-Liouville hypergroup with a positive index is α-amenable
if and only if α = 1.
Author’s address: Dietlinden Stra?e 16, 80802 München, Germany |
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Keywords: | 2000 Mathematics Subject Classification: 43A62 43A07 46H20 33C10 |
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