Implementability of Liouville evolution, Koopman and Banach-Lamperti theorems in Classical and Quantum dynamics

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dc.creatorAntoniou, I.
dc.creatorMajewski, W. A.
dc.creatorSuchanecki, Z.
dc.date2004-04-10
dc.date.accessioned2026-07-07T04:31:06Z
dc.date.available2026-07-07T04:31:06Z
dc.descriptionWe extend the concept of implementability of semigroups of evolution operators associated with dynamical systems to quantum case. We show that such an extension can be properly formulated in terms of Jordan morphisms and isometries on non-commutative $L^p$ spaces. We focus our attention on a non-commutative analog of the Banach-Lamperti theorem.
dc.identifierhttps://arxiv.org/abs/math-ph/0404029
dc.identifierhttp://arxiv.org/abs/math-ph/0404029
dc.identifierOpen Sys.$&$ Information Dyn, vol. 9, 301-313, 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57700
dc.subjectMathematical Physics
dc.subject82C10; 46L55
dc.titleImplementability of Liouville evolution, Koopman and Banach-Lamperti theorems in Classical and Quantum dynamics
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