Commutants and bicommutants of algebras of unbounded operators

DOI10.1063/1.527789zbMath0624.47045OpenAlexW2015797178MaRDI QIDQ3025723

Hideyuki Ueda, Toshiyuki Yamauchi, Atsushi Inoue

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527789

zbMATH Keywords

smallest extensionOp\({}^ *\)-algebraRadon- Nikodym theorem for von Neumann algebrasunbounded bicommutantvon Neumann density type theorem

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) General theory of von Neumann algebras (46L10) Applications of selfadjoint operator algebras to physics (46L60) States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (6)

An unbounded generalization of the Tomita-Takesaki theory. II ⋮ Modular structure of algebras of unbounded operators ⋮ Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras ⋮ An unbounded generalization of the Tomita-Takesaki theory ⋮ An unbounded generalization of Hilbert algebras ⋮ Unnamed Item

Cites Work

• Spatial theory for algebras of unbounded operators
• Unbounded representations of \(^*\)-algebras
• A Radon-Nikodym theorem for *-algebras
• Self-adjoint algebras of unbounded operators
• Topological algebras of operators
• Topological properties of unbounded bicommutants

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