International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 7, Pages 335-343

Ergodic sequences of probability measures on commutative hypergroups

Liliana Pavel

Faculty of Mathematics and Computer Science, Bucharest University, Academiei 14, Bucharest 70109, Romania

Received 5 May 2003

Copyright © 2004 Liliana Pavel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 π and for any ξπ, (Kπx(ξ)dμn(x))n converges to a π-invariant member of π.