Inner amenable hypergroups, Invariant projections and Hahn-Banach extension theorem related to hypergroups
Keywords:
Hypergroup, inner amenability, quasi central, approximate identity, asymptotically central, semidirect product hypergroup, strong ergodicity, Hahn-Banach extension property, monotone extension property, partially ordered real Banach space, amenability,Abstract
Let K be a hypergroup with a Haar measure. In the present
paper we initiate the study of inner amenable hypergroups extending
amenable hypergroups and inner amenable locally compact groups. We
also provide characterizations of amenable hypergroups by hypergroups
having the Hahn-Banach extension or monotone projection property.
Finally we focus on weak*-invariant complemented subspaces of L_infinity(K).
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