Abstract
On an example of a compact right topological group, we construct a probability measure that is invariant under all right translations, is unique as such, and is also invariant under all continuous left translations. The construction is done in such a way as to indicate how to construct such a measure in the general case, starting from the structure theorem for compact right topological groups. The details for the general case are given in [4, 2, 3]. The measure on the example is also uniquely determined by invariance under all continuous left translations, a conclusion known not to be valid in general.
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© 1991 Springer Science+Business Media New York
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Milnes, P. (1991). Invariant Probability Measures on Compact Right Topological Groups. In: Heyer, H. (eds) Probability Measures on Groups X. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2364-6_22
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DOI: https://doi.org/10.1007/978-1-4899-2364-6_22
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-2366-0
Online ISBN: 978-1-4899-2364-6
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