An interval map with a spectral gap on Lipschitz functions, but not on bounded variation functions

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dc.creatorGouezel, Sebastien
dc.date2008-09-03
dc.date.accessioned2026-07-07T10:00:24Z
dc.date.available2026-07-07T10:00:24Z
dc.descriptionWe construct a uniformly expanding map of the interval, preserving Lebesgue measure, such that the corresponding transfer operator admits a spectral gap on the space of Lipschitz functions, but does not act continuously on the space of bounded variation functions.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0809.0658
dc.identifierhttp://arxiv.org/abs/0809.0658
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168312
dc.subjectDynamical Systems
dc.titleAn interval map with a spectral gap on Lipschitz functions, but not on bounded variation functions
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