A CENTRAL LIMIT THEOREM FOR BOSE ${\mathcal Z}$-INDEPENDENT QUANTUM RANDOM VARIABLES

DOI10.1142/S0219025799000163zbMath0989.46036MaRDI QIDQ4528540

Michael Skeide

Publication date: 21 July 2002

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

central limit theoremsymmetric Fock module\({\mathcal Z}\)-algebras\({\mathcal Z}\)-probability\({\mathcal Z}\)-quantum random variablesBose \({\mathcal Z}\)-independenceoperator-valued random variablestensor products of \({\mathcal Z}\)-algebras

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Tensor products of (C^*)-algebras (46L06) Limit theorems in probability theory (60F99)

Related Items (2)

Quantum stochastic calculus on full Fock modules ⋮ Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies

Cites Work

• Hilbert modules in quantum electro dynamics and quantum probability
• Positive definite kernels and Hilbert C*-modules

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