Corpus ID: 198985894

# Maximal ergodic inequalities for some positive operators on noncommutative $L_p$-spaces

@article{Hong2019MaximalEI,
title={Maximal ergodic inequalities for some positive operators on noncommutative \$L\_p\$-spaces},
author={G. Hong and S. K. Ray and S. Wang},
journal={arXiv: Operator Algebras},
year={2019}
}
• Published 2019
• Mathematics
• arXiv: Operator Algebras
In this paper, we establish the one-sided maximal ergodic inequalities for a large subclass of positive operators on noncommutative $L_p$-spaces for a fixed $1<p<\infty$, which particularly applies to positive isometries and general positive Lamperti contractions or power bounded doubly Lamperti operators; moreover, it is known that this subclass recovers all positive contractions on the classical Lebesgue spaces $L_p([0,1])$. Our study falls into neither the category of positive contractions… Expand
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