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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 6, Pages 1305–1318 (Mi smj2050)  
This article is cited in 5 scientific papers (total in 5 papers)

Ergodic theorems for contractions in Orlicz–Kantorovich lattices

B. S. Zakirova, V. I. Chilinb

a Tashkent Institute of Railway Transport Engineers, Tashkent, Uzbekistan
b National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (361 kB) Citations (5)
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Abstract: We obtain some versions of ergodic theorems for positive contractions in the Orlicz–Kantorovich lattices $L_M(m)$ associated with a measure $m$ taking values in the algebra of measurable real functions. The proof is carried out by representing $L_M(m)$ as measurable bundles of classical Orlicz function spaces.
Keywords: Orlicz–Kantorovich lattice, measurable Banach bundle, positive contraction, ergodic theorem.
Received: 11.03.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 6, Pages 1027–1037
DOI: https://doi.org/10.1007/s11202-009-0113-5
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: B. S. Zakirov, V. I. Chilin, “Ergodic theorems for contractions in Orlicz–Kantorovich lattices”, Sibirsk. Mat. Zh., 50:6 (2009), 1305–1318; Siberian Math. J., 50:6 (2009), 1027–1037
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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