O* - Dynamical Systems and * - Derivations of Unbounded Operator Algebras

DOI10.1002/mana.19992040102zbMath0946.46055OpenAlexW1977289815MaRDI QIDQ4264451

Camillo Trapani, Jean-Pierre Antoine, Atsushi Inoue

Publication date: 22 September 1999

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19992040102

zbMATH Keywords

algebra of unbounded operators\(O^*\)-dynamical systemsspatial theory for \(*\)-derivations

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Noncommutative dynamical systems (46L55) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (6)

Isometric isomorphisms in proper \(CQ^*\)-algebras ⋮ On some applications of representable and continuous functionals of Banach quasi \(^\ast \)-algebras ⋮ A noncommutative approach to ordinary differential equations ⋮ A non-commutative approach to ordinary differential equations ⋮ Unbounded derivations and \(^*\)-automorphisms groups of Banach quasi \(^*\)-algebras ⋮ HOMOMORPHISMS IN PROPER LIE CQ^*-ALGEBRAS

Cites Work

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• Algebras of unbounded operators and quantum dynamics
• Regular weights on algebras of unbounded operators
• Derivations of operator algebras into spaces of unbounded operators
• Application of commutator theorems to the integration of representations of Lie algebras and commutation relations
• Commutators and self-adjointness of Hamiltonian operators
• Canonical commutation relations on the interval
• States and derivations on quasi-*-algebras
• Derivations on Algebras of Unbounded Operators
• Spatial theory of *-automorphisms of partial O*-algebras
• Spatiality of *-derivations of partial O*-algebras
• PARTIAL *-ALGEBRAS OF CLOSABLE OPERATORS: A REVIEW

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