An interval map with a spectral gap on Lipschitz functions, but not on bounded variation functions
Dynamical Systems
2008-09-04 v1
Abstract
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.
Cite
@article{arxiv.0809.0658,
title = {An interval map with a spectral gap on Lipschitz functions, but not on bounded variation functions},
author = {Sebastien Gouezel},
journal= {arXiv preprint arXiv:0809.0658},
year = {2008}
}
Comments
4 pages