Normal forms on partial O*-algebras

DOI10.1063/1.529508zbMath0770.47025OpenAlexW1999007875MaRDI QIDQ3987333

Atsushi Inoue, Jean-Pierre Antoine

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529508

zbMATH Keywords

statetrace class operatorsesquilinear formsalgebraic formulation of quantum theoriesGel'fand-Naimark-Segal (GNS) constructionnormal linear functional on some *-algebrapartial *-algebra of closable operators

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Coherent states (81R30)

Related Items (5)

Spatial theory of *-automorphisms of partial O*-algebras ⋮ Spatiality of *-derivations of partial O*-algebras ⋮ Unnamed Item ⋮ Trace representation of weights on partial O\(^{*}\)-algebras ⋮ Unnamed Item

Cites Work

• Partial \({}^*\)-algebras of closable operators. I: The basic theory and the abelian case
• A theory of quantum measurement based on the CCR algebra \(L^+({\mathcal W})\)
• Partial *-algebras of closed linear operators in Hilbert space
• Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras
• Simple facts about algebras of unbounded operators
• On trace representation of linear functionals on unbounded operator algebras
• Positive linear functionals on \(^ *\)-algebras of unbounded operators
• The quantum problem of moments. I
• Self-adjoint algebras of unbounded operators
• Normal states on algebras of unbounded operators
• Strongly Cyclic Vectors for PartialOp*-Algebras
• Representability of invariant positive sesquilinear forms on partial *-algebras

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