The bundle convergence in von Neumann algebras and their $L_2$-spaces
Volume 120 / 1996
Studia Mathematica 120 (1996), 23-46
DOI: 10.4064/sm-120-1-23-46
Abstract
A stronger version of almost uniform convergence in von Neumann algebras is introduced. This "bundle convergence" is additive and the limit is unique. Some extensions of classical limit theorems are obtained.