On the maximal ergodic theorem for Abel-limits
نویسندگان
چکیده
منابع مشابه
Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem
We give a short proof of a strengthening of the Maximal Ergodic Theorem which also immediately yields the Pointwise Ergodic Theorem. Let (X,B, μ) be a probability space, T : X → X a (possibly noninvertible) measurepreserving transformation, and f ∈ L(X,B, μ). Let
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1963
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1963-0156943-7