Duals of subhypergroups and quotients of commutative hypergroups
type: Item
instance of: scholarly article
title: Duals of subhypergroups and quotients of commutative hypergroups
zbMATH Open document ID: 0759.43002
DOI: 10.1007/BF02571799
published in: Mathematische Zeitschrift
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/174404
review text: We investigate the relationship between hypergroup homomorphisms and normal subhypergroups. Furthermore, we determine the dual spaces of open subhypergroups and of quotients \(K/H\), \(H\) being a compact subhypergroup of a commutative hypergroup \(K\). These results are applied to derive criteria for Pontryagin hypergroups. We present examples of commutative hypergroups for which some of the results which are well known for locally compact abelian groups do not hold.
Mathematics Subject Classification ID: 43A62
Mathematics Subject Classification ID: 43A40
zbMATH DE Number: 126386
zbMATH Keywords: hypergroup homomorphisms
zbMATH Keywords: normal subhypergroups
zbMATH Keywords: dual spaces
zbMATH Keywords: Pontryagin hypergroups
zbMATH Keywords: commutative hypergroups
author: Michael Voit
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 126386