Kazhdan projections, random walks and ergodic theorems
Kazhdan projections, random walks and ergodic theorems
Abstract In this paper we investigate generalizations of Kazhdan’s property (T) to the setting of uniformly convex Banach spaces. We explain the interplay between the existence of spectral gaps and that of Kazhdan projections. Our methods employ Markov operators associated to a random walk on the group, for which we …