Ortho-independent states of the C. C. R. algebra

DOI10.2977/PRIMS/1195181411zbMath0599.46084OpenAlexW2098037914MaRDI QIDQ1080131

J. Martin Lindsay

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195181411

zbMATH Keywords

statessymplectic formstochastic independenceextremal elementsnormally distributed \({\mathbb{R}}^ n\)-valued random variables

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of (C^*)-algebras (46L05) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) States of selfadjoint operator algebras (46L30)

Cites Work

• Quantum mechanical Wiener processes
• The smallest C\(^*\)-algebra for canonical commutation relations
• The \(C^ *\)-algebras of a free Boson field
• Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations
• Über eine Eigenschaft der normalen Verteilungsfunktion

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