scientific article

zbMath0629.46048MaRDI QIDQ3766323

Françoise D. Mathot, Jean-Pierre Antoine

Publication date: 1987

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1987__46_3_299_0

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zbMATH Keywords

extensionspartial algebrascommutantsalgebras of unbounded operatorspartial *-algebrabicommutantsclosable operators on a fixed dense domain of a Hilbert spacepartial \(SV^*\)-algebraspartial \(V^*\)-algebrasstrong and weak partial \(Op^*\)-algebras

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Applications of selfadjoint operator algebras to physics (46L60) Topological (rings and) algebras with an involution (46K99)

Related Items (10)

On the regularity of the partial \(O^*\)-algebras generated by a closed symmetric operator ⋮ Integral decomposition of partial *-algebras of closed operators ⋮ Unnamed Item ⋮ \(CQ^*\)-algebras: Structure properties ⋮ Biweights on partial *-algebras ⋮ Biweights and \(^{\ast}\)-homomorphisms of partial \(^{\ast}\)-algebras ⋮ Unnamed Item ⋮ Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Field algebras do not leave field domains invariant
• Algebras of unbounded operators and quantum dynamics
• The completion of the maximal \(Op^ *\)-algebra on a Frechet domain
• Partial *-algebras of closed linear operators in Hilbert space
• A class of unbounded operator algebras
• Simple facts about algebras of unbounded operators
• Partial inner product spaces. II: Operators
• On positive functionals on algebras of test functions for quantum fields
• On the mathematical description of quantized fields
• Self-adjoint algebras of unbounded operators
• Topological algebras of operators
• V*-algebras: A particular class of unbounded operator algebras
• TOPOLOGIES ON UNBOUNDED OPERATOR ALGEBRAS
• Topological properties of unbounded bicommutants
• On structure of the algebra of field operators
• On a Class of Locally Convex Algebras
• Unnamed Item
• Unnamed Item

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