Dilations of symmetric operators shifted by a unitary group

DOI10.1016/0022-1236(90)90073-TzbMath0726.47004MaRDI QIDQ803894

Reinhard F. Werner

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

selfadjoint operatorpositive operator valued measuredensely defined symmetric operatorspectral functions of a symmetric operatorstrongly continuous unitary group on a Hilbert space

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20)

Related Items (7)

Non-commutative moment problems ⋮ Self-adjoint time operators and invariant subspaces ⋮ Off-diagonal terms in symmetric operators ⋮ Geometric construction of \(*\)-representations of the Weyl algebra with degree 2 ⋮ Operator integrals and sesquilinear forms ⋮ Existence of Smooth Solutions to the Classical Moment Problems ⋮ Positive elements in the algebra of the quantum moment problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of certain pairs of operators (P,Q) satisfying \([P,Q=- iId\)]
• Position operators as integrals with respect to Euclidean systems of covariance
• On Mackey's imprimitivity theorem
• Some remarks on covariant completely positive linear maps on C*-algebras
• Systems of covariance and subrepresentations of induced representations
• Self adjoint extensions satisfying the Weyl operator commutation relations
• Induced representations and a new proof of the imprimitivity theorem
• Die Eindeutigkeit der Schrödingerschen Operatoren
• On the Heisenberg commutation relation. I
• Positive Functions on C ∗ -Algebras

This page was built for publication: Dilations of symmetric operators shifted by a unitary group