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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168312We 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.4 pagesDynamical SystemsAn interval map with a spectral gap on Lipschitz functions, but not on bounded variation functionstext