%0 Journal Article %T An interval map with a spectral gap on Lipschitz functions, but not on bounded variation functions %A Sebastien Gouezel %J Mathematics %D 2008 %I arXiv %X We 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. %U http://arxiv.org/abs/0809.0658v1