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The central limit theorem in Hilbert spaces in terms of the Levy- Prokhorov metric. (Russian) Zbl 0457.60005
Teor. Veroyatn. Mat. Stat. 25, 55-63 (1981).

MSC:
60B05 Probability measures on topological spaces
60B12 Limit theorems for vector-valued random variables (infinite-dimensional case)
60F05 Central limit and other weak theorems