Positive elements in the algebra of the quantum moment problem

DOI10.1007/BF01366901zbMath0746.46061OpenAlexW2091362958MaRDI QIDQ1814299

Robert T. Powers, Palle E. T. Jorgensen

Publication date: 25 June 1992

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01366901

zbMATH Keywords

commutation relationSchrödinger representationSchwartz spacealgebra of unbounded operatorsextended Weil algebra

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Free probability and free operator algebras (46L54) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Topological algebras of operators (46H35)

Related Items (4)

Infinite-dimensional Lie algebras, representations, Hermitian duality and the operators of stochastic calculus ⋮ Off-diagonal terms in symmetric operators ⋮ A method for computing lowest eigenvalues of symmetric polynomial differential operators by semidefinite programming ⋮ On the spectra of Schrödinger operators

Cites Work

• Analytic vectors
• Dilations of symmetric operators shifted by a unitary group
• Extensions of positive definite integral kernels on the Heisenberg group
• The multidimensional moment problem
• Positive cones in enveloping algebras
• Self adjoint extensions satisfying the Weyl operator commutation relations
• Induced representations and a new proof of the imprimitivity theorem
• The quantum problem of moments. I
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• n-Positivity of Unbounded *-Representations
• An Example of a Positive Polynomial which is not a Sum of Squares of Polynomials A Positive, but not Strongly Positive Functional
• Sur les algèbres de Weyl

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