Quasi-states and the Poisson bracket on surfaces

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dc.creatorZapolsky, Frol
dc.date2007-03-05
dc.date.accessioned2026-07-07T07:50:14Z
dc.date.available2026-07-07T07:50:14Z
dc.descriptionWe present a convexity-type result concerning simple quasi-states on closed manifolds. As a corollary, an inequality emerges which relates the Poisson bracket and the measure of non-additivity of a simple quasi-state on a closed surface equipped with an area form. In addition, we prove that the uniform norm of the Poisson bracket of two functions on a surface is stable from below under C^0-perturbations.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0703121
dc.identifierhttp://arxiv.org/abs/math/0703121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125094
dc.subjectSymplectic Geometry
dc.subjectFunctional Analysis
dc.subject53D99; 28C15
dc.titleQuasi-states and the Poisson bracket on surfaces
dc.typetext

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