Title of article :
Generalized Dobrushin Coefficients on Banach Spaces
Author/Authors :
Bartoszek ، Wojciech Department of Advanced Mathematical Applications - Faculty of Science - Gdansk University of Technology , Beśka ، Marek Department of Mathematics - Faculty of Science - Gdansk University of Technology , Florek ، Wiktor Department of Advanced Mathematical Applications - Faculty of Science - Gdansk University of Technology
Abstract :
The asymptotic behavior of iterates of bounded linear operators (not necessarily positive), acting on Banach spaces, is studied. Through the Dobrushin ergodicity coefficient, we generalize some ergodic theorems obtained earlier for classical Markov semigroups acting on (or positive operators on abstract state spaces).
Keywords :
Dobrushin coefficient , Markov operator , Mixing , Category
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society