Lotz-Rabiger's nets of Markov operators in L-1-spaces

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].


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Citation Formats
E. Emelyanov, “Lotz-Rabiger’s nets of Markov operators in L-1-spaces,” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, pp. 777–783, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39827.