On quasi-compact Markov nets

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BARTOSZEK W., Erkursun N.

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

• Publication Type: Article / Article
• Volume: 31
• Publication Date: 2011
• Doi Number: 10.1017/s0143385710000350
• Journal Name: ERGODIC THEORY AND DYNAMICAL SYSTEMS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1081-1094
• Hacettepe University Affiliated: No

Abstract

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.