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On the almost uniform convergence in noncommutative $$L_ 2$$-spaces. (English) Zbl 0823.46063
Summary: We introduce a kind of convergence in $$L_ 2$$ over a von Neumann algebra and prove a few typical results being the analogues of classical pointwise theorems.
##### MSC:
 46L51 Noncommutative measure and integration 46L53 Noncommutative probability and statistics 46L54 Free probability and free operator algebras