C^0-rigidity of the double Poisson bracket

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dc.creatorEntov, Michael
dc.creatorPolterovich, Leonid
dc.date2008-07-27
dc.date2008-12-13
dc.date.accessioned2026-07-07T12:12:08Z
dc.date.available2026-07-07T12:12:08Z
dc.descriptionThe paper is devoted to function theory on symplectic manifolds. We study a natural class of functionals involving the double Poisson brackets from the viewpoint of their robustness properties with respect to small perturbations in the uniform norm. We observe an hierarchy of such robustness properties. The methods involve Hofer's geometry on the symplectic side and Landau-Hadamard-Kolmogorov inequalities on the function-theoretic side.
dc.descriptionMinor corrections, to appear in IMRN
dc.identifierhttps://arxiv.org/abs/0807.4275
dc.identifierhttp://arxiv.org/abs/0807.4275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210446
dc.subjectSymplectic Geometry
dc.subjectClassical Analysis and ODEs
dc.titleC^0-rigidity of the double Poisson bracket
dc.typetext

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