A random ergodic theorem in von Neumann algebras-Reference-Cited by-同舟云学术

A random ergodic theorem in von Neumann algebras

Published:1982 Issue:4 Volume:86 Page:605-608
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dang Ngoc Nghiem

Abstract

E. C. Lance has recently extended the Birkhoff ergodic theorem to noncommutative dynamical systems. Using Lance’s result, we extend the random ergodic theorem of H. R. Pitt, S. M. Ulam, S. Kakutani and J. von Neumann to noncommutative context.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1982-086-04/S0002-9939-1982-0674090-4/S0002-9939-1982-0674090-4.pdf

Reference9 articles.

1. Ergodic theorems for noncommutative dynamical systems;Conze, J.-P.;Invent. Math.,1978

2. Pointwise convergence of martingales in von Neumann algebras;Nghiêm Đặng Ngọc;Israel J. Math.,1979

3. J. Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien, Gauthier-Villars, Paris, 1969.

4. Random ergodic theorems and Markoff processes with a stable distribution;Kakutani, Shizuo,1951

5. Ergodic theorems for convex sets and operator algebras;Lance, E. Christopher;Invent. Math.,1976

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Ergodic averages with vector-valued Besicovitch weights;Positivity;2011-10-14

2. On multiparameter weighted ergodic theorem for noncommutative Lp-spaces;Journal of Mathematical Analysis and Applications;2008-07

3. Bibliography;Ergodic Theorems;1985-12-31

4. A few remarks on the almost uniform ergodic theorems in von Neumann algebras;Lecture Notes in Mathematics;1984

5. On some ergodic theorems for von Neumann algebras;Lecture Notes in Mathematics;1984