On spectral gaps of Markov maps

José Manuel Conde-Alonso, Javier Parcet, Éric Ricard

It is shown that if a Markov map $T$ on a noncommutative probability space $\mathcal{M}$ has a spectral gap on $L_2(\mathcal{M})$, then it also has one on $L_p(\mathcal{M})$ for $1…