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Lotz-Rabiger's nets of Markov operators in L-1-spaces
Date
2010-11-15
Author
Emelyanov, Eduard
Erkursun, Nazife
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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].
Subject Keywords
Applied Mathematics
,
Analysis
URI
https://hdl.handle.net/11511/39827
Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
DOI
https://doi.org/10.1016/j.jmaa.2010.05.060
Collections
Department of Mathematics, Article