amenable weighted hypergroups

AMENABLE WEIGHTED HYPERGROUPS

In this paper among many other things we prove that the topological left amenability and left amenability of a weighted hypergroup (K, ?) are equivalent. For a normal subgroup H of K, we define a weight function ?? on KIH and obtain connection between left amenability of (K, ?) and (K|H, ??). Let H be a compact subhypergroup of K. We define the weight function on K||H and obtain connection...

Characterizations of amenable hypergroups

Let $K$ be a locally compact hypergroup with left Haar measure and let $L^1(K)$ be the complex Lebesgue space associated with it. Let $L^infty(K)$ be the dual of $L^1(K)$. The purpose of this paper is to present some necessary and sufficient conditions for $L^infty(K)^*$ to have a topologically left invariant mean. Some characterizations of amenable hypergroups are given.

P-Amenable Locally Compact Hypergroups

p-amenable locally compact hypergroups

0

Algebraic Quantum Hypergroups

An algebraic quantum group is a regular multiplier Hopf algebra with integrals. In this paper we will develop a theory of algebraic quantum hypergroups. It is very similar to the theory of algebraic quantum groups, except that the comultiplication is no longer assumed to be a homomorphism. We still require the existence of a left and of a right integral. There is also an antipode but it is char...

Enumeration of Rosenberg hypergroups

The aimof this paper is to introduce the notion of generalmutually associative hypergroups and to give some properties of the hypergroups associated with binary relations related to these notions. A program written in C# computes the number of Rosenberg hypergroups that satisfies the property of (general) mutual associativity. © 2010 Elsevier Ltd. All rights reserved.