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}
}
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