On quasi-compact Markov nets


Bartoszek W., Erkursun N.

ERGODIC THEORY AND DYNAMICAL SYSTEMS, cilt.31, ss.1081-1094, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 31
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1017/s0143385710000350
  • Dergi Adı: ERGODIC THEORY AND DYNAMICAL SYSTEMS
  • Sayfa Sayıları: ss.1081-1094

Özet

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.