Sums of commutators in free probability
نویسندگان
چکیده
We study the linear span of commutators free random variables and show that these are only quadratic forms which satisfy following equivalent properties: preservation infinite divisibility, strong cancellation odd cumulants, symmetric distribution for any family.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2021
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2020.108791