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arXiv · 0809.0658

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

Sebastien Gouezel
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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.

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Sebastien Gouezel. 2008-09-03. An interval map with a spectral gap on Lipschitz functions, but not on bounded variation functions. https://arxiv.org/abs/0809.0658

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