Order Convergence Ergodic Theorems in Rearrangement Invariant Spaces

Mustafa Muratov,Julia Pashkova,Ben-Zion Rubshtein

doi:10.1007/978-3-0348-0531-5_7

Order Convergence Ergodic Theorems in Rearrangement Invariant Spaces

Mustafa Muratov, Julia Pashkova + Show 1 more

https://doi.org/10.1007/978-3-0348-0531-5_7

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Publication Date: Dec 12, 2012

Affiliation: Taurida National V.I. Vernadsky University, Ben-Gurion University of the Negev

#Rearrangement Invariant Spaces #Order Convergence + Show 8 more

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Abstract

We find necessary and sufficient conditions for order convergence of Cesaro averages of positive absolute contractions in rearrangement invariant spaces. We study the case, when the considered measure is infinite. The investigation of order convergence includes both Dominated and Individual Ergodic Theorems.

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