Maximal ergodic inequalities on non-commutative L_p-spaces

Abstract: In an influential paper, Junge and Xu established a non-commutative analogue of Dunford-Schwartz maximal ergodic inequality, solving a longstanding open problem in ergodic theory. However, there are very few non-commutative ergodic theorems beyond L_1-L_\infty contractions of Junge-Xu. In this talk, we consider the problem of finding more general non-commutative ergodic theorems than L_1-L_\infty contractions. En route we discuss how our work is related to various results of Haagerup, Ruan and Pisier on non-commutative L_p spaces. This is a joint work with Guixiang Hong and Simeng Wang.

functional analysisoperator algebras

Audience: researchers in the topic

Webinars on Operator Theory and Operator Algebras