Derivations of quasi \(^*\)-algebras

DOI10.1155/S0161171204307155zbMath1065.47036arXiv0903.5460OpenAlexW2003135102MaRDI QIDQ1774726

Camillo Trapani, Atsushi Inoue, Fabio Bagarello

Publication date: 18 May 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.5460

zbMATH Keywords

quasi *-algebrasspatiality of derivationsultra-cyclic representation

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Applications of operator algebras to the sciences (47L90) Commutators, derivations, elementary operators, etc. (47B47) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Operator algebra methods applied to problems in quantum theory (81R15) Linear operators in algebras (47C05)

Related Items (11)

Bounded version of bosonic creation and annihilation operators and their related quasicoherent states ⋮ Isometric isomorphisms in proper \(CQ^*\)-algebras ⋮ Unbounded \(C^{\ast}\)-seminorms, biweights, and \(^{\ast}\)-representations of partial \(^{\ast}\)-algebras: A review ⋮ Homomorphisms and derivations in proper \(JCQ^{*}\)-triples ⋮ A noncommutative approach to ordinary differential equations ⋮ A non-commutative approach to ordinary differential equations ⋮ On domains of unbounded derivations of generalized \({B}^{*}\)-algebras ⋮ Representations and derivations of quasi \(*\)-algebras induced by local modifications of states ⋮ Unbounded derivations and \(^*\)-automorphisms groups of Banach quasi \(^*\)-algebras ⋮ O ⋆ -algebras and quantum dynamics: Some existence results ⋮ HOMOMORPHISMS IN PROPER LIE CQ^*-ALGEBRAS

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