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A Dominated Ergodic Theorem for Contractions with Fixed Points
Published online by Cambridge University Press: 20 November 2018
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Let be a finite measure space, and let T be a contraction in real Lp(X). (i.e. T is linear and ||T||≤1). It is said that the Dominated Ergodic Theorem holds for T, if there exists a constant cp such that, if M(T)f(x) = supn 1/n then ||M(T)f||p ≤ cp ||f||p for every f in Lp.
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- Copyright © Canadian Mathematical Society 1977
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