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On the Uniqueness Property for Invariant Measures
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Aleks Kirtadze
Published/Copyright:
September 1, 2005
Abstract
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 -finite invariant measures.
Key words and phrases:: Invariant measure; metrically transitive measure; uniqueness property; product of measures; inductive limit of measures
Received: 2005-05-04
Published Online: 2005-September
Published in Print: 2005-September
Heldermann Verlag
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Keywords for this article
Invariant measure;
metrically transitive measure;
uniqueness property;
product of measures;
inductive limit of measures
Articles in the same Issue
- On a Normal of the Distribution of Hyperplane Elements in an Affine Space
- Admissible Diagrams for 𝐺(𝑚, 1, 𝑛)
- Monotonicity and the Asymptotic Estimate of Bleimann Butzer and Hahn Operators Based on Q-Integers
- On Weakly Primary Ideals
- Hardy's Inequality in a Variable Exponent Sobolev Space
- Deciding Linear Disjointness of Finitely Generated Differential Fields
- The Algebraic Sum of Two Absolutely Negligible Sets Can be an Absolutely Nonmeasurable Set
- Beyond Moser's Conjecture on Grunsky Inequalities
- Set-Theoretic Properties of Schmidt's Ideal
- Composition Operators on 𝑄𝑝 Spaces
- A Note on Fourier Coefficients of Functions of Generalized Wiener Class
- Periodic Solutions of Higher Order Nonlinear Difference Equations Via a Continuation Theorem
- Extension of Multiresolution Analysis and the Construction of Orthogonal Multiwavelets