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 |