
TL;DR
This paper explores the concept of lpha-amenability in locally compact commutative hypergroups, establishing equivalences with hypergroup algebra properties and examining specific cases like hypergroup joins and polynomial hypergroups.
Contribution
It provides a characterization of lpha-amenability for hypergroups and links it to lpha-left amenability of the associated hypergroup algebra, including various classes of hypergroups.
Findings
lpha-amenability of hypergroups is equivalent to lpha-left amenability of their hypergroup algebra
Analysis of lpha-amenability in hypergroup joins and polynomial hypergroups
Extension of lpha-amenability concepts to multiple variables
Abstract
Let denote a locally compact commutative hypergroup, the hypergroup algebra, and a real-valued hermitian character of . We show that is -amenable if and only if is -left amenable. We also consider the -amenability of hypergroup joins and polynomial hypergroups in several variables as well as a single variable.
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Taxonomy
TopicsFuzzy and Soft Set Theory
