Maximal ergodic theorem

id: maximal-ergodic-theorem-275-1376918
title: Maximal ergodic theorem
text: The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics. Suppose that is a probability space, that T : X → X is a measure-preserving transformation, and that f ∈ L 1 . Define f ∗ by Then the maximal ergodic theorem states that for any λ ∈ R. This theorem is used to prove the point-wise ergodic theorem.
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original url: https://en.wikipedia.org/wiki/Maximal_ergodic_theorem
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date modified: 2024-03-13T03:37:34Z
main entity: {"identifier":"Q6795637","url":"https://www.wikidata.org/entity/Q6795637"}
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