V*-algebras: A particular class of unbounded operator algebras

DOI10.1063/1.526492zbMath0556.47026OpenAlexW1998286662MaRDI QIDQ3219346

G. Epifanio, Camillo Trapani

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526492

zbMATH Keywords

von Neumann algebra*-invariant set of closable operators in Hilbert space\(SV^*\)-algebras\(V^*\)-algebrasbicommutants of an \(op^*\)-algebraweak unbounded commutants

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) General theory of von Neumann algebras (46L10)

Related Items (18)

On the regularity of the partial \(O^*\)-algebras generated by a closed symmetric operator ⋮ Field algebras do not leave field domains invariant ⋮ Complete sets of non-self-adjoint observables: An unbounded approach ⋮ Commutants of a family of operators on a partial inner product space ⋮ Unnamed Item ⋮ An unbounded generalization of the Tomita-Takesaki theory. II ⋮ \(Qu^*\)-algebras and twisted product ⋮ Spatiality of *-derivations of partial O*-algebras ⋮ On some classes of unbounded commutants of unbounded operator families ⋮ Some unbounded commutants of a set of operators on a partial inner product space ⋮ Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras ⋮ An unbounded generalization of the Tomita-Takesaki theory ⋮ Op\({}^*\)- and \(C^*\)-dynamical systems. I. Structural parallels ⋮ Op\({}^*\) and \(C^*\) dynamical systems. II. Structural differences: Borchers anomaly ⋮ Unnamed Item ⋮ Topological properties of unbounded bicommutants ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• A class of unbounded operator algebras
• Topological aspects of algebras of unbounded operators
• Unbounded representations of \(^*\)-algebras
• On a certain class of *-algebras of unbounded operators
• On the mathematical description of quantized fields
• Self-adjoint algebras of unbounded operators
• Topological algebras of operators
• Some spectral properties in algebras of unbounded operators
• Some topics in pre-Hilbert space
• Postulates of Quantum Field Theory
• Unbounded Operator Algebras

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