Complete sets of non-self-adjoint observables: An unbounded approach

DOI10.1063/1.531452zbMath0884.47022OpenAlexW2066653545MaRDI QIDQ5284299

G. Epifanio, Camillo Trapani, Todor S. Todorov

Publication date: 18 March 1998

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

Full work available at URL: https://doi.org/10.1063/1.531452

zbMATH Keywords

von Neumann algebraclosed Abelian \(\text{O}^*\)-algebracommon invariant dense domainisometry semigroupsmaximal semi-Abelian von Neumann algebraNelson-type examplepartial \(\text{GW}^*\)-algebraset of maximal symmetric operators which commute pairwise strongly

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Algebras of unbounded operators; partial algebras of operators (47L60) Applications of operator theory in the physical sciences (47N50) General theory of von Neumann algebras (46L10)

Related Items (2)

Standard generalized vectors and \({}^*\)-automorphism groups of partial \(O^*\)-algebras ⋮ Unnamed Item

Cites Work

• Partial \({}^*\)-algebras of closable operators. I: The basic theory and the abelian case
• Partial *-algebras of closed linear operators in Hilbert space
• Generators of dynamical semigroups
• On Euclidean systems of covariance for massless particles
• Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras
• An operational approach to quantum probability
• On the repeated measurement of continuous observables in quantum mechanics
• V*-algebras: A particular class of unbounded operator algebras
• Quantum communication systems (Corresp.)
• Commutation Properties of Symmetric Operators
• Quantum stochastic processes

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