Quasi-compactness criterion for strong Feller kernels with an application to quasi-stationary distributions
Michel Benaı̈m, Nicolas Champagnat, William Oçafrain, Denis Villemonais · HAL (Le Centre pour la Communication Scientifique Directe) · 2022
The aim of this note is to provide a sufficient criterion for the quasi-compactness of positive operators on $L^\infty$ type spaces. We provide applications to the theory of quasi-stationary distributions.