A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method

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dc.creatorKargin, Vladislav
dc.date2007-03-12
dc.date.accessioned2026-07-07T08:27:01Z
dc.date.available2026-07-07T08:27:01Z
dc.descriptionA Central Limit Theorem for non-commutative random variables is proved using the Lindeberg method. The theorem is a generalization of the Central Limit Theorem for free random variables proved by Voiculescu. The Central Limit Theorem in this paper relies on an assumption which is weaker than freeness.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0703345
dc.identifierhttp://arxiv.org/abs/math/0703345
dc.identifierElectronic Communications in Probability, 2007, 12, 36-50
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137140
dc.subjectProbability
dc.subjectOperator Algebras
dc.subject46L54, 60FL5
dc.titleA Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method
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