On trace representation of linear functionals on unbounded operator algebras

DOI10.1007/BF01220848zbMath0398.47027OpenAlexW2068640804MaRDI QIDQ1254528

Konrad Schmüdgen

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1007/bf01220848

zbMATH Keywords

Op*-AlgebraPositive Linear FunctionalsUnbounded Operator Algebras

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Applications of operator algebras to the sciences (47L90) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60)

Related Items (21)

The completion of the maximal \(Op^ *\)-algebra on a Frechet domain ⋮ Normal forms on partial O*-algebras ⋮ Modular structure of algebras of unbounded operators ⋮ Modular systems induced by trace functionals on algebras of unbounded operators ⋮ Spatial theory of *-automorphisms of partial O*-algebras ⋮ \(Qu^*\)-algebras and twisted product ⋮ Sequences of normal states on maximal \(Op^*\)-algebras ⋮ On topologization of unbounded operator algebras ⋮ Decomposition of Completely Positive Maps ⋮ Applications of Generalized B∗-Algebras to Quantum Mechanics ⋮ An unbounded generalization of the Tomita-Takesaki theory ⋮ On Inner Characterizations of Aõ-Algebras and some Applications to Calkin Algebras and Symmetric Tensor-Algebras ⋮ A different approach to unbounded operator algebras ⋮ Two theorems about topologies on countably generatedOp*-algebras ⋮ Singular states on maximal \(Op^ *\)-algebras ⋮ Duality for maximal \(Op^*\)-algebras on Fréchet domains ⋮ Trace representation of weights on partial O\(^{*}\)-algebras ⋮ Trace representation of weights on algebras of unbounded operators ⋮ On the Heisenberg commutation relation. I ⋮ The normality of strongly positive states on the CCR algebra ⋮ Spatial theory for algebras of unbounded operators

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• Topological algebras of operators
• Normal states on algebras of unbounded operators
• Representation of Elliptic Operators in an Enveloping Algebra
• On an Ideal in Algebras of Unbounded Operators
• Two theorems about topologies on countably generatedOp*-algebras
• Irreducible representations of operator algebras

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