Murdoch University Research Repository

Welcome to the Murdoch University Research Repository

The Murdoch University Research Repository is an open access digital collection of research
created by Murdoch University staff, researchers and postgraduate students.

Learn more

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.

PDF - Published Version
Download (1MB) | Preview
Link to Published Version:
*Subscription may be required


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.

Item Type: Journal Article
Murdoch Affiliation(s): School of Mathematical and Physical Sciences
Publisher: Cambridge University Press
Copyright: © 1992 Australian Mathematical Society
Item Control Page Item Control Page


Downloads per month over past year