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The Individual Ergodic Theorem for Contractions with Fixed Points
Published online by Cambridge University Press: 20 November 2018
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Let (X, I, μ) be a σ-finite measure space and let T take Lp to Lp, p fixed, 1<p<∞,‖t‖p≤1. We shall say that the individual ergodic theorem holds for T if for any uniform sequence K1, k2,… (for the definition, see [2]) and for any f∊LP(X), the limit
exists and is finite almost everywhere.
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- Copyright © Canadian Mathematical Society 1980
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