An isomorphic version of the slicing problem

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dc.creatorKlartag, B.
dc.date2003-12-28
dc.date.accessioned2026-07-07T05:04:13Z
dc.date.available2026-07-07T05:04:13Z
dc.descriptionHere we show that any n-dimensional centrally symmetric convex body K has an n-dimensional perturbation T which is convex and centrally symmetric, such that the isotropic constant of T is universally bounded. T is close to K in the sense that the Banach-Mazur distance between T and K is O(log n). If K has a non-trivial type then the distance is universally bounded. In addition, if K is quasi-convex then there exists a quasi-convex T with a universally bounded isotropic constant and with a universally bounded distance to K.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0312475
dc.identifierhttp://arxiv.org/abs/math/0312475
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69722
dc.subjectMetric Geometry
dc.subjectFunctional Analysis
dc.titleAn isomorphic version of the slicing problem
dc.typetext

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