On quasi-compact Markov nets

BARTOSZEK W., Erkursun N.

ERGODIC THEORY AND DYNAMICAL SYSTEMS, vol.31, pp.1081-1094, 2011 (SCI-Expanded) identifier identifier


We extend a theorem of Lotz, which says that any Markov operator T acting on C(X) such that T* is mean ergodic and all invariant measures have non-meager supports must be quasi-compact, to Lotz-Rabiger nets.