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On spectral gaps of Markov maps

Abstract : It is shown that if a Markov map T on a noncommutative probability space M has a spectral gap on L2(M), then it also has one on Lp(M) for 1 < p < ∞. For fixed p, the converse also holds if T is factorizable. Some results are also new for classical probability spaces.
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https://hal-normandie-univ.archives-ouvertes.fr/hal-01876527
Contributor : Éric Ricard <>
Submitted on : Tuesday, September 18, 2018 - 3:04:55 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM

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José Conde-Alonso, Javier Parcet, Éric Ricard. On spectral gaps of Markov maps. Israël Journal of Mathematics, Hebrew University Magnes Press, 2018, 226 (1), pp.189 - 203. ⟨10.1007/s11856-018-1693-1⟩. ⟨hal-01876527⟩

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