Noncommutative Maximal Ergodic Inequality For Non-tracial L1-spaces

We extend the noncommutative L1-maximal ergodic inequality for semi nite von Neumann algebras established by Yeadon in 1977 to the framework of non- commutative L1-spaces associated with - nite von Neumann algebras. Since the semi nite case of this result is one of the two essential parts in the proof of noncom- mutative maximal ergodic inequality for tracial Lp-spaces (1 < p < ∞) by Junge-Xu in 2007, we hope our result will be helpful to establish a complete noncommutative maximal ergodic inequality for non-tracial Lp-spaces in the future.報告番号: 甲27189 ; 学位授与年月日: 2011-03-24 ; 学位の種別: 課程博士 ; 学位の種類: 博士(数理科学) ; 学位記番号: 博数理第370号 ; 研究科・専攻: 数理科学研究科数理科学専