About: Maximal ergodic theorem

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The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics. Suppose that is a probability space, that is a (possibly noninvertible) measure-preserving transformation, and that . Define 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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  • The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics. Suppose that is a probability space, that is a (possibly noninvertible) measure-preserving transformation, and that . Define by Then the maximal ergodic theorem states that for any λ ∈ R. This theorem is used to prove the point-wise ergodic theorem. (en)
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  • The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics. Suppose that is a probability space, that is a (possibly noninvertible) measure-preserving transformation, and that . Define by Then the maximal ergodic theorem states that for any λ ∈ R. This theorem is used to prove the point-wise ergodic theorem. (en)
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  • Maximal ergodic theorem (en)
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