An interval map with a spectral gap on Lipschitz functions, but not on bounded variation functions
classification
🧮 math.DS
keywords
functionsboundedintervallipschitzspacespectralvariationadmits
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.