Journal article
Isomorphisms of hypergroups
Journal of the Australian Mathematical Society (Series A), Vol.52(3), pp.383-400
1992
Abstract
Let K1, K2 be locally compact hypergroups. It is shown that every isometric isomorphism between their measure algebras restricts to an isometric isomorphism between their L1-algebras. This result is used to relate isometries of the measure algebras to homeomorphisms of the underlying locally compact spaces.
Details
- Title
- Isomorphisms of hypergroups
- Authors/Creators
- W.R. Bloom (Author/Creator) - Murdoch UniversityM.E. Walter (Author/Creator) - University of Colorado Boulder
- Publication Details
- Journal of the Australian Mathematical Society (Series A), Vol.52(3), pp.383-400
- Publisher
- Cambridge University Press
- Identifiers
- 991005546356907891
- Copyright
- © 1992 Australian Mathematical Society
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 9 Mathematics
- 9.28 Pure Maths
- 9.28.886 Operator Algebras
- Web Of Science research areas
- Mathematics
- Statistics & Probability
- ESI research areas
- Mathematics