Noncommutative maximal ergodic theorems
| dc.creator | Junge, Marius | |
| dc.creator | Xu, Quanhua | |
| dc.date | 2005-05-14 | |
| dc.date | 2006-03-08 | |
| dc.date.accessioned | 2026-07-07T06:39:57Z | |
| dc.date.available | 2026-07-07T06:39:57Z | |
| dc.description | This paper is devoted to the study of various maximal ergodic theorems in noncommutative $L_p$-spaces. In particular, we prove the noncommutative analogue of the classical Dunford-Schwartz maximal ergodic inequality for positive contractions on $L_p$ and the analogue of Stein's maximal inequality for symmetric positive contractions. We also obtain the corresponding individual ergodic theorems. We apply these results to a family of natural examples which frequently appear in theory of von Neumann algebras and in quantum probability. | |
| dc.description | This is a revised version with minor modifications. To appear in J. Amer. Math. Soc | |
| dc.identifier | https://arxiv.org/abs/math/0505308 | |
| dc.identifier | http://arxiv.org/abs/math/0505308 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101271 | |
| dc.subject | Operator Algebras | |
| dc.subject | Dynamical Systems | |
| dc.subject | Functional Analysis | |
| dc.subject | Primary 46L53, 46L55; Secondary 46L50, 37A99 | |
| dc.title | Noncommutative maximal ergodic theorems | |
| dc.type | text |