Author:
Bloom Walter R.,Walter Martin E.
Abstract
AbstractLet 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.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference17 articles.
1. Left centralizers and isomorphisms of group algebras
2. On isometric isomorphisms of group algebras;Wendel;J. Math.,1951
3. W∗-algebras and nonabelian harmonic analysis
4. Isometric isomorphisms of measure algebras
5. Hypergroups and centers of measure algebras;Ross;Symp. Math.,1977
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