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Sbornik: Mathematics, 2003, Volume 194, Issue 2, Pages 237–250
DOI: https://doi.org/10.1070/SM2003v194n02ABEH000714 (Mi sm714) 		 
This article is cited in 4 scientific papers (total in 4 papers)

An individual ergodic theorem with respect to a uniform sequence and the Banach principle in Jordan algebras

A. K. Karimova, F. M. Mukhamedovb

a Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
b National University of Uzbekistan named after M. Ulugbek
English version PDF (201 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2003v194n02ABEH000714
Abstract: A non-associative analogue of the Banach principle is developed for measurable elements with respect to a $JBW$-algebra. On the basis of it an individual ergodic theorem is proved for subsequences generated by means of uniform sequences.
Received: 14.02.2002 and 26.08.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 2, Pages 73–86
DOI: https://doi.org/10.4213/sm714
Bibliographic databases:
UDC: 517.98
MSC: 47A35, 46H70, 28Dxx
Language: English
Original paper language: Russian
Citation: A. K. Karimov, F. M. Mukhamedov, “An individual ergodic theorem with respect to a uniform sequence and the Banach principle in Jordan algebras”, Mat. Sb., 194:2 (2003), 73–86; Sb. Math., 194:2 (2003), 237–250
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:87
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