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

Citation Formats

E. Emelyanov and N. Erkursun, “Lotz-Rabiger’s nets of Markov operators in L-1-spaces,” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 371, no. 2, pp. 777–783, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39827.