An individual ergodic theorem with respect to a uniform sequence and the Banach principle in Jordan algebras
Abdusalom KarimovRomanovskii Mathematical Institute of the National Academy of Sciences of the Uzbek Republic, Tashkent, UzbekistanFarrukh MukhamedovNational University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
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ABI
Annotatsiya
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.
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