Ergodic sequences of probability measures on commutative hypergroups
نویسندگان
چکیده
منابع مشابه
Ergodic sequences of probability measures on commutative hypergroups
We study conditions on a sequence of probability measures {µ n } n on a commutative hyper-group K, which ensure that, for any representation π of K on a Hilbert space Ᏼ π and for any ξ ∈ Ᏼ π , (K π x (ξ)dµ n (x)) n converges to a π-invariant member of Ᏼ π. 1. Introduction. The mean ergodic theorem was originally formulated by von Neu-mann [13] for one-parameter unitary groups in Hilbert space. ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2004
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171204305041