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arXiv:0809.0658 [math.DS]AbstractReferencesReviewsResources

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

Sebastien Gouezel

Published 2008-09-03Version 1

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.

Comments: 4 pages
Categories: math.DS
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