Individual Ergodic Theorems For Noncommutative Orlicz Space

In this thesis,we prove several individual ergodic theorems in non commutative Orlicz space, which consists of three parts. In section1we introduce basic knowledge of non com-mutative LP space and non commutative Orlicz space LΦ(M) defined by N function Φ. In section2we introduce almost uniform convergence (bilateral uniform convergence), uniform-1y equicontinuous in measure (bilateral uniformly equicontinuous in measure) and related results. Finally, by using idea of uniformly equicontinuous in measure we prove individual ergodic theorems in the noncommutative Orlicz space LΦ(M).