Lotz-Rabiger's nets of Markov operators in L1-spaces

被引：7
|
作者：
Emel'yanov, Eduard [1 ]
Erkursun, Nazife [1 ]
机构：
[1] Middle E Tech Univ, TR-06531 Ankara, Turkey
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 371卷 / 02期
关键词：
L-1-space; LR-net of Markov operators; Strong convergence; Asymptotic stability; Lower-bound function; ERGODICITY; STABILITY;
D O I：
10.1016/j.jmaa.2010.05.060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Lotz-Rabiger nets (LR-nets) introduced in Rabiger (1993) [18] under the name M-nets provide an appropriate setting for investigation various mean ergodic theorems in Banach spaces. In the present paper we prove several convergence theorems for LR-nets of Markov operators in L-1-spaces which extend Theorems 1 and 5 from Emel'yanov (2004) [8]. and Theorem 1.1 from Lasota (1983) [11]. (C) 2010 Elsevier Inc. All rights reserved.
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页码：777 / 783
页数：7
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