Limit theorems for non-commutative random variables

DOI10.1007/S10959-005-7251-XzbMath1121.46050OpenAlexW2034710304MaRDI QIDQ2576793

Yanyan Li

Publication date: 14 December 2005

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-005-7251-x

zbMATH Keywords

law of large numbersvariancecentral limit theoremhomogeneous space\(C^*\)-algebrasgroupexpectationnon-commutative probability theoryvariance kernel

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Limit theorems in probability theory (60F99)

Cites Work

• Conditional expectation in an operator algebra
• Expectations in an operator algebra
• Classical and quantum probability
• An algebraic version of the central limit theorem
• An algebraic central limit theorem in the anti-commuting case

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