Lectures on the classical moment problem and its noncommutative generalization

DOI10.1090/conm/676/13609zbMath1367.46066arXiv1511.02246OpenAlexW2143000479MaRDI QIDQ2975221

Michel Dubois-Violette

Publication date: 11 April 2017

Published in: Noncommutative Geometry and Optimal Transport (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02246

zbMATH Keywords

moment problemnoncommutative generalization

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Cites Work

• Extremal decomposition of Wightman functions and of states on nuclear \(^*\)-algebras by Choquet theory
• A generalization of the classical moment problem on \(^*\)-algebras with applications to relativistic quantum theory. I
• A generalization of the classical moment problem on *-algebras with applications to relativistic quantum theory. II
• \(C^*\)-algebras and \(W^*\)-algebras.
• Perturbation theory for linear operators.
• Nets of \(C^*\)-algebras and classification of states
• Self-adjoint algebras of unbounded operators
• Une classification des facteurs de type ${\rm III}$
• FROM QUANTUM FIELDS TO LOCAL VON NEUMANN ALGEBRAS
• On structure of the algebra of field operators
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