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.
@article{bwmeta1.element.bwnjournal-article-smv120i1p23bwm,
author = {Ewa Hensz and Ryszard Jajte and Adam Paszkiewicz},
title = {The bundle convergence in von Neumann algebras and their $L\_2$-spaces},
journal = {Studia Mathematica},
volume = {119},
year = {1996},
pages = {23-46},
zbl = {0856.46033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv120i1p23bwm}
}
Hensz, Ewa; Jajte, Ryszard; Paszkiewicz, Adam. The bundle convergence in von Neumann algebras and their $L_2$-spaces. Studia Mathematica, Tome 119 (1996) pp. 23-46. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv120i1p23bwm/
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