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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
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