THE E-PROPERTY OF ASYMPTOTICALLY STABLE MARKOV-FELLER OPERATORS

被引：3

作者：

Kukulski, Ryszard ^{[1
]}

Wojewodka-Sciazko, Hanna ^{[1
,2
]}

机构：

[1] Polish Acad Sci, Inst Theoret & Appl Informat, Baltycka 5, PL-44100 Gliwice, Poland

[2] Univ Silesia Katowice, Inst Math, Bankowa 14, PL-40007 Katowice, Poland

来源：

COLLOQUIUM MATHEMATICUM | 2021年 / 165卷 / 02期

关键词：

Markov operator; asymptotic stability; e-property; equicontinuity; Feller property; STABILITY; ERGODICITY;

D O I：

10.4064/cm8165-6-2020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any asymptotically stable Markov-Feller operator has the e-property everywhere outside a meagre set. We also provide an example showing that this result is tight. Moreover, an equivalent criterion for the e-property is proposed.

引用

页码：269 / 283

页数：15

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