Unbounded operators satisfying non-Lie commutation relations

DOI10.1016/0034-4877(89)90027-XzbMath0749.47020OpenAlexW2007462189MaRDI QIDQ1178352

Vasyl L. Ostrovskyĭ, Yurii S. Samoilenko

Publication date: 26 June 1992

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(89)90027-x

zbMATH Keywords

selfadjointfamilies of unbounded operatorsnon-Lie relations

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Commutators, derivations, elementary operators, etc. (47B47) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items

Representations of quadratic *-algebras by bounded and unbounded operators ⋮ Unbounded representations of \(q\)-deformation of Cuntz algebra ⋮ Representations of the \(q\)-deformed Lie algebra of the group of motions of the Euclidean plane ⋮ Representations of relations connecting a collection of commuting selfadjoint operators with a nonselfadjoint one ⋮ Integrable operator representations of \(\mathbb{R}_ q^ 2\), \(X_{q,\gamma}\) and \(SL_ q(2,\mathbb{R})\) ⋮ Topological dynamical systems of type I

Cites Work

• Analytic vectors
• A commutative model of presentation of the group of flows \(SL(2,R)^ X\) that is connected with a unipotent subgroup
• Some algebraic structures connected with the Yang-Baxter equation
• Absolutely continuous measures for certain maps of an interval
• The projection spectral theorem
• Simple facts about analytic vectors and integrability
• Imprimitivity for Representations of Locally Compact Groups I
• REPRESENTATIONS OF THE ANTICOMMUTATION RELATIONS
• REPRESENTATIONS OF THE COMMUTATION RELATIONS
• Approximate solving of singular integral equations of the first kind by the method of orthogonal polynomials
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