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Start Over Descriptor "Pointwise ergodic theorem" Topic ergodic theory Topic infinite measure
1 results on '"Pointwise ergodic theorem"'

1. The validity space of Dunford–Schwartz pointwise ergodic theorem.

Author

Chilin, Vladimir and Litvinov, Semyon

Subjects
*DUNFORD-Pettis properties of Banach spaces, *ERGODIC theory, *FINITE element method, *DIFFERENTIAL operators, *NUMERICAL analysis
Abstract

We show that if a σ -finite infinite measure space ( Ω , μ ) is quasi-non-atomic, then the Dunford–Schwartz pointwise ergodic theorem holds for f ∈ L 1 ( Ω ) + L ∞ ( Ω ) if and only if μ { | f | ≥ λ } < ∞ for all λ > 0 . [ABSTRACT FROM AUTHOR]

Published
2018
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