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A central limit theorem for uniformly bounded stationary sequences of operators. (Russian) Zbl 0625.46063

Different sufficient conditions are given for asymptotic normality of the distribution of normalized sums of stationary sequences of operators.

MSC:

46L51 Noncommutative measure and integration
46L53 Noncommutative probability and statistics
46L54 Free probability and free operator algebras
60E05 Probability distributions: general theory
60F05 Central limit and other weak theorems