Generalized Dobrushin Coefficients on Banach Spaces

被引：1
作者：
Bartoszek, Wojciech [1 ]
Beska, Marek
Florek, Wiktor [1 ]
机构：
[1] Gdansk Univ Technol, Dept Adv Math Applicat, Ul Narutowicza 11-12, PL-80233 Gdansk, Poland
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 04期
关键词：
Dobrushin coefficient; Markov operator; Mixing; Category; MARKOV OPERATORS; SEMIGROUPS; ERGODICITY;
D O I：
10.1007/s41980-021-00600-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The asymptotic behavior of iterates of bounded linear operators (not necessarily positive), acting on Banach spaces, is studied. Through the Dobrushin ergodicity coefficient, we generalize some ergodic theorems obtained earlier for classical Markov semigroups acting on L-1 (or positive operators on abstract state spaces).
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页码：1691 / 1709
页数：19
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