One-parameter family of Radon-Nikodym theorems for states of a von Neumann algebra

DOI10.2977/PRIMS/1195192170zbMath0296.46065OpenAlexW2014625447MaRDI QIDQ1213622

Huzihiro Araki

Publication date: 1974

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/1195192170

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (3)

Geometric phases and related structures ⋮ Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra ⋮ Positive cones and \(L^p\)-spaces for von Neumann algebras

Cites Work

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• Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
• Relative Hamiltonian for faithful normal states of a von Neumann algebra
• Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra
• Tomita's theory of modular Hilbert algebras and its applications
• Bures distance function and a generalization o f Sakai's non-commutative Radon-Nikodym theorem
• A Radon-Nikodym theorem in 𝑊*-algebras

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