The weighted pointwise ergodic theorem and the individual ergodic theorem along subsequences
نویسندگان
چکیده
منابع مشابه
On the Mean Ergodic Theorem for Subsequences
With these assumptions we have T defined for every integer n as a 1-1, onto, bimeasurable transformation. Henceforth we shall assume that every set considered is measurable, i.e. an element of a. We shall say that P is invariant if P(A) =P(TA) for every set A, P is ergodic if P is invariant and if P(U^L_oo TA) = 1 for every set A for which P(A) > 0 , and finally P is strongly mixing if P is inv...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1985
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1985-0773063-8