科研之友
微信
新浪微博
Facebook
分享链接
摘要
We prove a Wiener-Wintner ergodic type theorem for a Markov representation S = {S-g : g is an element of G} of a right amenable semitopological semigroup G. We assume that S is mean ergodic as a semigroup of linear Markov operators acting on (C(K), parallel to + parallel to sup), where K is a fixed Hausdorff, compact space. The main result of the paper is necessary and sufficient conditions for mean ergodicity of a distorted semigroup {chi(g) S-g : g is an element of G}, where chi is a semigroup character. Such conditions were obtained before under the additional assumption that S is uniquely ergodic.
- 出版日期2017-7
