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

被引:3
|
作者
Karimov, AK [1 ]
Mukhamedov, FM
机构
[1] Uzbek Acad Sci, Inst Math, Tashkent 700135, Uzbekistan
[2] Natl Univ Uzbekistan, Tashkent, Uzbekistan
关键词
D O I
10.1070/SM2003v194n02ABEH000714
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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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页码:237 / 250
页数:14
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