Isomorphisms of hypergroups
Bloom, W.R. and Walter, M.E. (1992) Isomorphisms of hypergroups. Journal of the Australian Mathematical Society (Series A), 52 (3). pp. 383-400.
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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.
|Publication Type:||Journal Article|
|Murdoch Affiliation:||School of Mathematical and Physical Sciences|
|Publisher:||Cambridge University Press|
|Copyright:||© 1992 Australian Mathematical Society|
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