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., 2003, Volume 194, Number 2,Pages <nobr>73

This article is cited in 4 papers

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

A. K. Karimov^a, F. M. Mukhamedov^b

^a Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
^b National University of Uzbekistan named after M. Ulugbek

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.

UDC: 517.98

MSC: 47A35, 46H70, 28Dxx

Received: 14.02.2002 and 26.08.2002

DOI: 10.4213/sm714