Aleks Kirtadze

On the Uniqueness Property for Invariant Measures

It is shown that the uniqueness property of probability invariant measures is preserved under the operation of Cartesian products. A similar question is investigated for inductive limits of nonzero $\sigma$-finite invariant measures.

Invariant measure, metrically transitive measure, uniqueness property, product of measures, inductive limit of measures.

MSC 2000: 28A05, 28D05