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.
Citation:
A. K. Karimov, F. M. Mukhamedov, “An individual ergodic theorem with respect to a uniform
sequence and the Banach principle in Jordan algebras”, Sb. Math., 194:2 (2003), 237–250
\Bibitem{KarMuk03}
\by A.~K.~Karimov, F.~M.~Mukhamedov
\paper An individual ergodic theorem with respect to a~uniform
sequence and the Banach principle in~Jordan algebras
\jour Sb. Math.
\yr 2003
\vol 194
\issue 2
\pages 237--250
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Linking options:
https://www.mathnet.ru/eng/sm714
https://doi.org/10.1070/SM2003v194n02ABEH000714
https://www.mathnet.ru/eng/sm/v194/i2/p73
This publication is cited in the following 4 articles:
Farrukh Mukhamedov, “On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras”, J. Phys.: Conf. Ser, 435 (2013), 012002
Karimov A., Mukhamedov F., “Martingale Convergence Theorems in JW-Algebras”, Bulletin of the Malaysian Mathematical Sciences Society, 33:3 (2010), 405–410
Karimov A., Mukhamedov F., “On Limit Theorems in Jw-Algebras”, Prob. Math. Stat.., 30:1 (2010), 153–165
A. K. Karimov, “Convergences in JW-algebras and in their enveloping von Neumann algebras”, Siberian Adv. Math., 18:3 (2008), 176–184
Citation in format AMSBIB
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