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On quasi-compact Markov nets

Published online by Cambridge University Press:  20 July 2010

WOJCIECH BARTOSZEK  and
NAZIFE ERKURŞUN
WOJCIECH BARTOSZEK
Affiliation:
Department of Mathematics, Gdańsk University of Technology, ul. Narutowicza 11/12, 80-233 Gdańsk, Poland (email: bartowk@mifgate.mif.pg.gda.pl)
NAZIFE ERKURŞUN
Affiliation:
Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey (email: erkursun@metu.edu.tr)
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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–Räbiger nets.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 4 , August 2011 , pp. 1081 - 1094
Copyright
Copyright © Cambridge University Press 2010

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