International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 5-8, Pages 335-343
doi:10.1155/S0161171204305041
Ergodic sequences of probability measures on commutative hypergroups
Liliana Pavel
Faculty of Mathematics and Computer Science, Bucharest University, Academiei 14, Bucharest 70109, Romania
Abstract
We study conditions on a sequence of probability measures {μn}n on a commutative hypergroup K, which ensure that, for any representation π of K on a Hilbert space ℋπ and for any ξ∈ℋπ, (∫Kπx(ξ)dμn(x))n converges to a π-invariant member of ℋπ.